Question

Using the Pythagorean Theorem, which of the triangles shown are right triangles?

Answer 1

a) 2squared +3squared =13

Answer 2

Answer with Step-by-step explanation:

According to the Pythagorean theorem,

Hypotenuse²=Base²+Perpendicular²

a.

Base=3

Perpendicular=2

3²+2²=13

Hypotenuse=√(13)

Hypotenuse²=13

b.

Base=3√2

Perpendicular=2

(3√2)²+2²=18+4

=22

Hypotenuse=5

Hypotenuse²=25

c.

Base=3√3

Perpendicular=2

(3√3)²+2²=27+4

=31

Hypotenuse=√(43)

Hypotenuse²=43

Hence, The only case in which Pythagorean theorem is satisfied is:

a

Hence, Triangle in case a is right angled triangle