Question

3 Xavier sketches several designs for a math club

Concept Application
pin. The math club voted for the pin shape to
be a right triangle. Which of the following
triangles could NOT be the shape used for the
math club pin?
13
17
А
12
15
26
D
24
12

Answer 1

D ...

Explanation:

Use the Pythagorean Theorem to figure out which triangle is NOT a right triangle. Square each leg and add them together. Then, square the hypotenuse (longest side). If the sums are equal, then the triangle IS a right triangle.

Pythagorean Theorem:

a(a) + b(b) = c(c) ; a squared plus b squared equals c squared

6(6) + 24(24) =? 26(26) ; leg a =6, leg b=24, hypotenuse=26

36 + 576 =? 676 ; simplify

612 =? 676 ; is 612 equal to 676?