Question

Anthony is creating a stained glass windowpane that will be 5 inches by 8 inches. To make the rectangular windowpane, Anthony fuses together two triangles of colored glass. What is the perimeter of one triangle? If necessary, round to the nearest tenth.

Answer 1

`Perimeter\ of\ one\ triangle = 22.4\ inches`

Explanation:

Given:- Rectangular windowpane of
`side\ a=5\inches\ and\ side\ b=8\ inches`.

Now, let c be the diagonal of the rectangle.

So,

`c=\sqrt{a^2+b^(2)`

`c=\sqrt{5^(2) +8^(2) }`

`c=√(25+64)`

`c=√(89)`

`c=9.43`

A rectangle is a combination of 2 triangles joint together at their hypotenuse.

∴ perimeter of one triangle is
`a+b+c`

`perimeter\ of\ one\ triangle= 5+8+9.43`

`perimeter\ of\ one\ triangle = 22.4\ inches`