Answer:
Hypotenuse=16.97 cm
Explanation:
Here it is given that the area of a right isosceles ∆ is 72 cm² . Let us assume that each equal side is x . Therefore the height and the base of the ∆ will be same that is x .
p
Area =\dfrac{1}{2}(base)(height)\\\end{gathered}⟶Area=21(base)(height)
⟶72cm2=21(x)(x)
144cm^2\\\end{gathered}⟶x2=144cm2
Hence we may find hypotenuse using Pythagoras Theorem as ,
Here p = b = 12cm ,
⟶h=(12cm)2+(12cm)2
⟶h=144cm2+144cm2
=\sqrt{288cm^2}\\\end{gathered}⟶h=288cm2
16.97cm }⟶hypotenuse=16.97cm
Hence the hypotenuse is 16.97 cm .
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