Question

Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side

Answer 1

The length of each blue trim is 17.2 inches

Explanation:

Given

See attachment for banner

Required

The length of each blue trim

Since all 4 triangles are equal, then the dimension of 1 triangle is:

`Side\ 1 = 10`

`Side\ 2 = 14`

The hypotenuse (x) of the triangle blue trim is represented by the blue trim

So:

`x^2 = Side\ 1^2 + Side\ 2^2`

This gives

`x^2 = 10^2 + 14^2`

`x^2 = 100 + 196`

`x^2 = 296`

Take square root

`x = \sqrt{296`

`x = 17.2in`