151k views
0 votes
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
by
8.2k points
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
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories