Question

find t
he length of the hypotenuse of an isosceles right angle triangle if its area is 50sq m find
​

Answer 1

Answer:

10√2

Step-by-step explanation:

LET US CONSIDER THE HEIGHT AND LENGTH OF THE TRIANGLE BE x.....SAME BECAUSE THE TRIANGLE IS ISOSCELES.

GIVEN:-

AREA =50 sqm

SOLUTION:-

AREA =1/2(BASE × HEIGHT)

50=1/2(x²)

100=x²

10=x

HEIGHT AND BASE OF THE TRIANGLE IS 10m.

BY USING PYTHAGORAS THEOREM...

HYPOTENUSE² = BASE ²+ HEIGHT²

HYPOTENUSE²=10²+10²

HYPOTENUSE²=200

HYPOTENUSE=√200

HYPOTENUSE=10√2m

ans... 10√2m.