Question

In an isoceles right triangle, the measure of the hypotenuse is 12 cm. find lengths of congruent sides also find area of triangle and the length of altitude on the hypotenuse

Answer 1

by Pythagoras theorem
a²+a²=144
2a²=144
a²= 72
a=2√6
therefore area = 1/2*perpendicular* base
= 0.5*2√6*2√6
= 12cm²