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

Respuesta :

Answer:

The length of each blue trim is 17.2 inches

Step-by-step 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:

[tex]Side\ 1 = 10[/tex]

[tex]Side\ 2 = 14[/tex]

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

So:

[tex]x^2 = Side\ 1^2 + Side\ 2^2[/tex]

This gives

[tex]x^2 = 10^2 + 14^2[/tex]

[tex]x^2 = 100 + 196[/tex]

[tex]x^2 = 296[/tex]

Take square root

[tex]x = \sqrt{296[/tex]

[tex]x = 17.2in[/tex]

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