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The hypotenuse of an isosceles right triangle is 14sqrt2. What is the area of the triangle?

 Aug 11, 2020
 #1
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Because the triangle is a right triangle, and the sides are equal, you can tell that:

If the leg(s) = x

x*sqrt(2)=hypotenuse

I think it is very easy to solve from here.

 Aug 11, 2020
 #2
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S = Side

 

Using Pythagoras's Theorem:

 

[14sqrt(2)]^2 =2S^2, solve for S

 

S = 14

 

Area =1/2 x 14 x 14 = 98 units^2

 Aug 11, 2020

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