Question

Classify the triangle formed by these three sides 5, 12, 15

-not a triangle
-acute
-right
-obtuse

Answer 1

Right

Explanation:

whenever you draw it and you have 15 as the hypotenuse and 12 and 5 as the legs it makes sense.

Answer 2

obtuse

Explanation:

Given 3 sides of a triangle a, b, c ( where c is the longest ) , then

• If a² + b² = c² ⇒ right

• If a² + b² > c² ⇒ acute

• If a² + b² < c² ⇒ obtuse

Here c = 15 , then c² = 15² = 225

5² + 12² = 25 + 144 = 169

Since 5² + 12² < 15² then triangle is obtuse