Respuesta :

rvkacademic

Answer:

See proof below

Step-by-step explanation:

In a right triangle the square of the hypotenuse (the longest side) = sum of the squares of the legs (other two sides) of the right triangle

Conversely we can state that if the square of the hypotenuse = sum of squares of the legs, it is a right triangle

In the given triangle, hypotenuse  is 13 cm length and the lengths of the two legs are 5 and 12 cm

13² = 169

5² + 12² = 25 + 144 = 169

So the square of the longest side = sum of squares of the other two sides. Hence it is a right triangle

KiaraL2006

Answer:

Step-by-step explanation:

pythagoras theorem states a^2 + b^2 =c^2

13 is the hypotenuse (c)

substitute the values of each on the sides into a^2 + b^2 =c^2

5^2 + 12^2 =13^2

25 + 144 = 169 which is true

since a^2 + b^2 = c^2, triangle A must be right-angled.

hope this helps :)

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