Question

an isosceles triangle has area 8cm find the length of of its hypotenuse​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Isosceles triangle have 2 sides are equal

Given:

1. Area = 8cm³
2. If it has hypotenuse then it must be a right angle triangle

Solution:

Area of a triangle =½*b*h

$area = \frac{1}{2} \times b \times h$

if it is a right angle triangle then

base=x

height=x (because isosceles triangle have 2 equal sides)

hypotenuse =hyp

Substituting in area :

area=½*x*x=8

Multiplying both side with 2

x²=16

x=4

By Pythagoras theorem

(hyp)²=(adj)²+(opp)²

(hyp)²=4²+4²(2 sides are equal in isosceles triangle)

(hyp)²=16+16

(hyp)²=32

hyp=√32

hyp≈5.65

Final Answer=5.65