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

Answer:

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

Step-by-step explanation:

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

Now, let c be the diagonal of the rectangle.

So,

$c=\sqrt{a^2+b^{2}$

$c=\sqrt{5^{2} +8^{2} }$

$c=\sqrt{25+64}$

$c=\sqrt{89}$

$c=9.43$

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

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

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

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