Question

MODELING REAL LIFE A post-and-beam frame for a shed is shown in the diagram. Does the brace form a right triangle with the post-and-beam? 15 in 25 In yes no Explain!

Answer 1

To find out if the triangle is a right triangle, we must check if the following equation is true:

$(15)^2+(20)^2=(25)^2^{}^{}^{}$

on the left side, we have:

$(15)^2+(20)^2=225+400=625^{}$

and on the right side, we have:

$(25)^2=625$

since on both sides we get 625, we have that the brace forms a right triangle.