Which of the following are right triangles? a) triangle abc: ab=76 bc=357 ac=365

b) triangle abc: ab=123 bc=836 ac=845

ANSWER

AB=76 BC=357 AC=365 This triangle is a right triangle.

EXPLANATION

We 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

133225=5776+127449

133225=133225

For the second triangle, we have;

B) Triangle ABC: AB=123 BC=836 AC=845

845²=123²+826²

714025=15129+682276

714025≠697405

The first triangle is a right triangle