29. Q29
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Similar Question 1
<p>Johnny is directly in front of Dougie, who is playing goalie, as shown. Johnny is 2.8 m from both goal posts. He is also three times as far from Dougie as Dougie is from either post.</p><img src="/qimages/6926" /><p>How wide is the net? Show your work.</p>
Similar Question 2
<p>In each right triangle, find the unknown side length, to the nearest tenth of a unit. </p><img src="/qimages/62989" />
Similar Question 3
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle a=8, c=17 </code></p>
Similar Questions
Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle b=3.5, c=3.7 </code></p>
<img src="/qimages/60249" /><p>A student</p><p>found the length <code class='latex inline'>\displaystyle x </code> in the triangle at the right by solving</p><p>the equation <code class='latex inline'>\displaystyle 12^{2}+13^{2}=x^{2} </code> Describe and correct the error.</p>
<p>Is there a relationship between the areas of semicircles placed on each side of a right triangle? Use the diagram to help you explain your answer.</p><img src="/qimages/1647" />
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle b=1, c=\frac{5}{4} </code></p>
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle a=5, c=13 </code></p>
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle a=8, c=17 </code></p>
<img src="/qimages/60291" /><p>Reasoning Use the diagram at the right.</p><p>a. Find the area of the larger square. Write your answer as a trinomial.</p><p>b. Find the area of the smaller square.</p><p>c. Find the area of each triangle in terms of <code class='latex inline'>\displaystyle a </code> and <code class='latex inline'>\displaystyle b </code>.</p><p>d. The area of the larger square equals the sum of the area of the smaller square and the areas of the four triangles. Write this equation and simplify. What do you notice?</p>
<img src="/qimages/60289" /><p>Physics If two forces pull at right angles to each other, the resultant force can be represented by the diagonal of a rectangle, as shown at the right. This diagonal is a hypotenuse of a right triangle. A 50 -lb force and a 120 -lb force combine for a resultant force of <code class='latex inline'>\displaystyle 130 \mathrm{lb} </code>. Are the forces pulling at right angles to each other? Explain.</p>
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle a=8, b=15 </code></p>
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle a=0.9, c=4.1 </code></p>
<p>Calculate the perimeter and area of this triangle.</p><img src="/qimages/890" />
<p>Determine whether the given lengths can be side lengths of a right triangle. </p><p><code class='latex inline'>\displaystyle 5,13,14 </code></p>
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle a=0.3, b=0.4 </code></p>
<p>Johnny is directly in front of Dougie, who is playing goalie, as shown. Johnny is 2.8 m from both goal posts. He is also three times as far from Dougie as Dougie is from either post.</p><img src="/qimages/6926" /><p>How wide is the net? Show your work.</p>
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle a=1.1, b=6 </code></p>
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle a=9, b=40 </code></p>
<p>Two sides of a right triangle measure <code class='latex inline'>\displaystyle 10 \mathrm{in.} </code> and <code class='latex inline'>\displaystyle 8 \mathrm{in} . </code></p><p>a. Writing Explain why this is not enough information to be sure of the length of the third side.</p><p>b. Give two possible values for the length of the third side.</p>
<p>Find each missing side length.</p><img src="/qimages/60245" />
<p>Joe plants a rectangular garden in the corner of his field, as shown. The area of the garden is <code class='latex inline'>\displaystyle 60 \% </code> of the area of the field. What is the longest side length of Joe&#39;s field, in feet?</p><img src="/qimages/60295" />
<p>Swimming A swimmer asks a question to a lifeguard sitting on a tall chair, as shown in the diagram. The swimmer needs to be close to the lifeguard to hear the answer. What is the distance between the swimmer&#39;s head and the lifeguard&#39;s head?</p><img src="/qimages/60277" />
<ol> <li>Canadian flag The Unity Flag is one of the largest Canadian flags. The length is twice the width, and the area is <code class='latex inline'>\displaystyle 167.2 \mathrm{~m}^{2} </code>. Find the dimensions of the Unity Flag, to the nearest tenth of a metre.</li> </ol>
<p>In each right triangle, find the unknown side length, to the nearest tenth of a unit. </p><img src="/qimages/62991" />
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle a=6, c=10 </code></p>
<p>Express the length of the hypotenuse of a right triangle in terms of its area, <code class='latex inline'>A</code>, and its perimeter, <code class='latex inline'>P</code>.</p>
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle b=6, c=7.5 </code></p>
<p>In each right triangle, find the unknown side length, to the nearest tenth of a unit. </p><img src="/qimages/62989" />
<p>Find each missing side length.</p><img src="/qimages/60246" />
<p>At noon, the shadow of a tree is 4.3 m long. At the same time, the shadow of a metre stick is 0.2 m long. What is the height of the tree?</p>
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle a=1, c=\frac{5}{3} </code></p>
<p>Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth.</p><img src="/qimages/60251" /><p><code class='latex inline'>\displaystyle a=4, b=7.5 </code></p>
<p>a) Do you think it will be faster for Ashleigh to walk half the length and then swim? Explain your reasoning.</p><p>Path 3: Walk half the length, then swim.</p><p>b) Find the travel time for this path. Compare this with your answers to question 19 .</p><p>c) Do you think this is the fastest possible path? Find the fastest path and the minimum time required to cross the pool, corner to opposite corner. Describe how you solved this.</p><img src="/qimages/157073" />
<p>In each right triangle, find the unknown side length, to the nearest tenth of a unit. </p><img src="/qimages/62990" />
<p>In each right triangle, find the unknown side length, to the nearest tenth of a unit. </p><img src="/qimages/62992" />
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