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

 Jul 24, 2021
 #1
avatar+34313 
+1

isosceles means each LEG is the same length

Use pythag theorem to find leg length

 

L^2 + L^2 = 14^2

2L^2 = 196

L^2 = 98

L = sqrt 98                 Now area = 1/2 * L * L = 49 units2

 Jul 24, 2021
 #2
avatar+775 
+1

45-45-90=x-x-xsqrt(2)
xsqrt(2)=14

x=14/sqrt(2)

x=14sqrt(2)/2

x=7sqrt(2)

area = x*x/2 = 7*7*2 / 2 = 7*7=49

 Jul 24, 2021

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