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A triangle has sides with lengths of 8 kilometers, 15 kilometers, and 16 kilometers. Is it a right triangle ?

2 Answers

2 votes

Answer:

No, it's an acute triangle

Explanation:

  • A triangle has sides with lengths of 8 kilometers, 15 kilometers, and 16 kilometers. Is it a right triangle ?

checking the pythagorean triples the given values ​​are not there, so it's an acute triangle, or you can check with the pythagorean theorem

  • The Pythagorean theorem consists of a formula a²+b²=c²

8² + 15² = 16²

64 + 225 = 256

289 = 259

it's not a right triangle

User Schlaus
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5 votes

Answer: No, it is not a right-angled triangle

Explanation:

We can use the Pythagoras theorem to prove whether its a right-angled triangle or not

Pythagoras theorem = a^2+b^2=c^2

We have sides of the triangle as= 8km, 15km, and 16km.

Substituting them into the formula now:

8^2+15^2=16^2

64+225=256

289=/=256

As we can see the squares of both the sides added are not equal to the square of the C side, it is proven that the given triangle is not a right-angled triangle.

User Amit Bhoyar
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7.5k points