Question

if an isosceles right angle triangle has area 8 cm the length of its hypotenuse is​

Answer 1

Answer:

Hypotenuse = 5.65 cm

Step-by-step explanation:

We known that in isosceles triangle the two sides are equal.

Area of isosceles right angle triangle = 8 cm^2 [ Given ]

As it is a isosceles triangle therefore,

base = height

Area of triangle = 1/2 × base (b) × height (h)

1/2 × h × h = 8cm^2

h^2 = 8 × 2

h^2 = 16

h = 4 cm

Base = 4 cm and height = 4 cm

Using Pythagoras theorem, we get

Hypotenuse^2 = base^2 + height^2

Hypotenuse ^2 = 4^2 + 4^2

Hypotenuse^2 = 16 + 16

Hypotenuse^2 = 32

Hypotenuse = √32 cm

Hypotenuse = 5.65 cm

Answer 2

Answer:

hope it's helpful to you