Question

If the area of an isosceles right angled triangle is
32 cm2, then the length of its longest altitude is
equal to

Answer 1

Area of an isosceles right angled triangle=32 cm²
Base²/2=32
Base²=64
base=8cm
Since it is isosceles right triangle base=height
Since height and base are equal,Length of
longest altitude is 8cm.
HOPE IT WAS HELPFUL
If it is longest side,then it is hypotenuse whose length is 8√2cm.

Answer 2

let the side be a given:a²/2=32
a²=64
a=8
the length of hypotenuse = √(8²×2)
√128
8√2
8×1.4
7.2
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