Question

For an art project, you are using a piece of cloth that is cut out in the shape of a right triangle. Find the area of the cloth. A triangle with side lengths 6 inches, 6 inches, and 8.5 inches.

Answer 1

Answer:

$A=17.99\ in^2$

Step-by-step explanation:

Given that,

A triangle with side lengths 6 inches, 6 inches, and 8.5 inches.

We need to find the area of the cloth.

The side lengths form an isosceles triangle. The formula for the area of the isosceles triangle is given by :

$A=\dfrac{1}{2}\times b\times h$

Where

$h=\sqrt{a^2-\dfrac{b^2}{4}}$

So,

$A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4}}$

Put a = 6 and b = 8.5

So,

$A=\dfrac{1}{2}\times 8.5\times \sqrt{6^2-\dfrac{8.5^2}{4}}\\\\A=17.99\ in^2$

So, the area of the cloth is equal to $17.99\ in^2$.