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Amanda [17]
2 years ago
8

1. Do the two triangles have the same size and shape? Justify your answer. Write your answer in the space below.

Mathematics
1 answer:
vitfil [10]2 years ago
7 0
<h2>1. Both triangles have the same shape and size</h2><h3>Both triangles have the same angles and if one side is the same size then both of them are EQUAL.</h3><h3 /><h2>2. Line FG has a length of 5 units</h2><h3>Both triangles are equal, therefore line AC is equal to line FG. AC is 5 units long.</h3><h3 /><h2>3. 23 Degrees</h2><h3>106 + 51 = 157</h3><h3>180 - 157 = 23</h3><h3>The other triangle also has the same angles.</h3>
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<h3><em><u>Answer</u></em></h3>

The area of the right triangle is 30 in^{2}. The perimeter is 40 in.


<h3><em><u>Explanation</u></em></h3>

First, we must find the measure of the hypotenuse of the triangle by using the Pythagorean Theorem.

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Now that we have all the side lengths, we can use the formulas to find the area and perimeter.

<h3>AREA:</h3>

A = \frac{bh}{2}

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<h3>PERIMETER:</h3>

P = a + b + c

P = 8 + 15 + 17

P = 40


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