Question

The side lengths of a triangle area are 5, 3, and 4. Is this a right triangle?

(question and answers attatched)

Answer 1

C.)Yes because
`3^(2) + 4^(2) = 5^(2)`

Explanation:

The Pythagoras theorem should be applied in this question. This theorem can only be applicable if the triangle has a right angle ( 90° ) therefore it is used.

`a^(2) + b^(2) = c^(2)` (The Pythagoras theorem)

`3^(2) + 4^(2) = 5^(2)`

`3^(2)` = 9 and
`4^(2)` = 16. So,

9 + 16 = 25 and
`5^(2)` = 25

∴ The sides proves that it is a right angled triangle.

Answer 2

C

Explanation:

We can use the Pythagorean Theorem to find if this really is a right triangle.

3² = 9

4² = 16

5² = 25

9 + 16 (?) 25

9 + 16 = 25

Your answer would be C.

Hope this helps. Have a nice day.