Using the pythagorean theorem which of the triangles shown are right triangles?

Triangle a

Step-by-step explanation:

The Pythagorean theorem states that the sums of the squares of the two legs of a right triangle is equal to the square of the hypotenuse; algebraically,

a²+b² = c²

For triangle a, we have

2²+3² = (√13)²

4+9 = 13

This is a true statement, so triangle A is a right triangle.

For triangle B,

2²+(3√2)² = 5²

4+9(2) = 25

4+18 = 25

This is not a true statement, so triangle B is not a right triangle.

For triangle C,

2²+(3√3)² = (√43)²

4+9(3) = 43

4+27 = 43

This is not a true statement, so triangle C is not a right triangle.

2/5

step-by-step explanation: