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

C.

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.

Answer 2

C

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 =
`√(12)` and (
`√(12)` )² = 12

2² + (
`√(8)` )² = 4 + 8 = 12

Thus the triangle is right → C