Question

an isosceles right triangle has area 8 cm square the length is its hypotenuse

Answer 1

Answer:

X=4cm

As it's iscosless so

Two side are 4 cm

Applying Pythagoras

Length is (4)²+(4)²= ac²

Ac= --/32

Answer 2

Answer:

Length of hypotenuse is 5.656 cm

Step-by-step explanation:

Two sides of a isosceles right triangle are same,  

Let x be the length of the two sides of a triangle,

Area of triangle = basexheight/2

Equation is  

(x)(x)/2=8

X2=16

X=4

Length of two sides of triangle is 4 cm

Now the length of hypotenuse can be calculated using Pythagoras theorem,

i.e. square root of  sum of squares of  base and height =length of hypotenuse

=square root of   (x2+x2)

=square root of (42+42)

=square root of 32

=5.656 cm