Question

If a right isosceles triangle has an area of 192 cm, what is the height of the triangle?

Answer 1

The height of the triangle is 19.596 centimeter, if a right isosceles triangle has an area of 192 square centimeters.

Explanation:

The given is,

Area of right isosceles triangle is 192 square centimeters

Step:1

Formula for area of right isosceles triangle is,

`A=(1)/(2) a^(2)`............................(1)

Where, a - Sides of triangle

a = h = b

Here, h - Height of triangle

b - Base of triangle

From given,

Area, A = 192 square centimeters

Equation (1) becomes.

`192=(1)/(2) a^(2)`

`a^(2) = (2)(192)`

= 384

`a^(2) = 384`

Take square root on both sides,

`a=√(384)`

a = 19.596 centimeters

Height of right isosceles of triangle, a = h = 19.596 centimeters

Result:

The height of the triangle is 19.596 centimeter, if a right isosceles triangle has an area of 192 square centimeters.