Question

The area of an isosceles right triangle is 200m2
find the hypotenuse
:​

Answer 1

Answer

root of 800

Step-by-step explanation:

Answer 2

Step-by-step explanation:

let the perpendicular of given Δ be x.

so, base =x m

Area of the triangle = 200 m2

1/2 ×b × h = 200 m2

1/ 2 x × x = 200 m2

x2/2 = 200 m2

x2 = 400 m2

x = √ 400 m2

x = 20 m

base = 20 m

perpendicular = 20 m

by Pythagoras theorem

H = √ p2 + b2

H = √ (20) ^2 +(20)^2

H = √ 400+ 400

H = √ 800

H = 20√2 m

Hence, the measure hypotenuse of Δ is 20√2 m.