Find the area of an isosceles right triangle whose hypotenuse is 18 cm
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3
Answer:
Refer to the attachment above. Hope it helps
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Answered by
2
Answer:
9 cm
Step-by-step explanation:
Since the triangle is isosceles right triangle, base is equal to height.
Given, hypotenuse is 18 cm
Let base = height x cm
According to Pythagoras Theorem, (base^2)+(height^2)=(hypotenuse^2)
Therefore, (x^2)+(x^2)=(18^2)
Implies that, 2(x^2)=324
Implies that, (X^2)=324/2
= 162
Implies that, x= Square root of 162
=9root2
Now, Area = 1/2*base*height
Since base=height
Area = 1/2*9root2 *9root2
= 9 cm square.
HOPE IT HELPS !!!
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