Question

Please please help me

Answer 1

a) Acute

Explanation:

If 11 and 12 were the legs of a right triangle, the length of the hypotenuse would be ...

√(11² +12²) = √(121 +144) = √265 ≈ 16.3

The actual length of the longest side is shorter, so the opposite (largest) angle measure will be less than 90°. The triangle is acute.

Answer 2

a) Acute

Explanation:

To clasify the triangle as Acute, Right, or Obtuse, we use the converse of the pythagorean theorem and see if c^2 is greater, less than, or equal to b^2+a^2.

So 16^2 ? 11^2 + 12^2

Since 11^2 +12^2 = 265 and 16^2 is 256, c^2 is less than b^2+a^2. So the triangle is acute.