Question

if in a right angle isosceles triangle area is 32 cm square .find the side of the triangle

Answer 1

Equal side of isosceles right angled triangle=√2×area
=√2×32=√64=8 cm
Therefore,equal sides of isosceles right angled triangle is 8cm
Longest side,hypotenuse is
Hypotenuse ²=base²+perpendicular ²
hypotenuse=√{base²+perpendicular ²}
=√8²+8²=8√2
Then the length of its longest altitude is equal to 8 cm(altitude means height)

Answer 2

Hi ....dear..here is your answer..
Area of triangle=32 cm²
Base²/2=32
Base²=64
base=8cm
it is isosceles right triangle base=height
Since height and base are equal,Length of
longest altitude is 8cm.
If it is longest side,then it is hypotenuse whose length is 8√2cm......