Question

Determine whether the measures 2, √8, and √12 can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse,
or right. Justify your answer.

Answer 1

Answer:

C

Step-by-step explanation:

First check if the triangle is right.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = $\sqrt{12}$ and ($\sqrt{12}$ )² = 12

2² + ($\sqrt{8}$ )² = 4 + 8 = 12

Thus the triangle is right → C

Answer 2

Answer:

C.

Step-by-step explanation:

Squaring the numbers we get 2^2 = 4, 8 and 12.

Lets look at the relation between  4 8 and 12:-

12 = 4 + 8

- so it obeys the Pythagoras theorem.

It is a right triangle and the answer is C.