asked 69.2k views
1 vote
Keelie has a triangular-shaped card. The lengths of its sides are 3.6 cm, 4.5 cm, and 5.4 cm. Is the card a right triangle?

1 Answer

5 votes

Answer:

No

Explanation:

If the card is a a right triangle, the lengths of the side would be compliant with the Pythagoras theorem.

Pythagoras theorem states that the sum of the square of the opposite side and the square of the adjacent side is equal to the square of the hypotenuse side.

Hence where a, b , c are the opposite, adjacent and hypotenuse side respectively,

a² + b² = c²

3.6² + 4.5² = c²

c² = 12.96 + 20.25

= 33.21

c = √33.21

= 5.76 cm

Since the result above is not 5.4 cm, the triangle is not a right triangle

answered
User Cedric Morent
by
8.4k points
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