Which of the following are right triangles? A) Triangle ABC: AB=76 BC=357 AC=365B) Triangle ABC: AB=123 BC=836 AC=845
Accepted Solution
A:
ANSWERAB=76 BC=357 AC=365 This triangle is a right triangle.EXPLANATIONWe use the Pythagoras Theorem to determine whether the triangles are right triangles.According to this theorem, the square of the hypotebuse is equal to the sum of the squares of the two shorter legs.We have: AB=76 BC=357 AC=365[tex] {365}^{2} = {76}^{2} + {357}^{2} [/tex]133225=5776+127449133225=133225For the second triangle, we have;B) Triangle ABC: AB=123 BC=836 AC=845845²=123²+826²714025=15129+682276714025≠697405The first triangle is a right triangle