pi3rina
contestada

A triangle has sides with lengths of 35 kilometers, 36 kilometers, and 12 kilometers. Is it a
right triangle?

yes or no

Respuesta :

Answer:

No

Step-by-step explanation:

In a right triangle, the longest side (hypotenuse) has the property that the square of the hypotenuse = sum of squares of other two sides. This is a result of the Pythagorean Theorem

If we label hypotenuse as c and the other two legs of the triangle as a and b, then we have

a² + b² = c²


In the given triangle the sides are 35, 36 and 12 km

Longest side is 36

Check if 35² + 12² = 36²

35² + 12² = 1225 + 144 = 1,369

36² = 1296

Hence the a² + b² = c² relationship does not hold for sides of the given lengths

Answer: No, it is not a right triangle