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nikklg [1K]
3 years ago
5

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

Mathematics
2 answers:
Feliz [49]3 years ago
7 0
A) 2squared +3squared =13

Svet_ta [14]3 years ago
3 0

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

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