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Find the area of the triangle on problem #7 and what statement in true for the triangle on #8

Find the area of the triangle on problem #7 and what statement in true for the triangle-example-1

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4 votes

Answer:

Explanation:

Using the pythagorean theorem, a^2+b^2=c^2

32/2=16, 20 would be the hypotenuse, so it would be 20^2-16^2=a^2 because we want to find the middle line. 400-256=144. sqrt(144) = 12.

Then since it is an isosceles triangle, we can simply do 12*16=192

The answer for 7 is 192ft^2

For #8, the answer is short leg * sqrt(3) = long leg

On another note, you can find the hypotenuse of a 30-60-90 triangle by doubling the shortest leg

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