Question

The side lengths of a triangle area are 5, 3, and 4. Is this a right triangle?
(question and answers attatched)

Answer 1

Answer:

C

Step-by-step 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.

Answer 2

Answer:

C.)Yes because $3^{2} + 4^{2} = 5^{2}$

Step-by-step 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.