Question

4. Tell if the measures 6, 14, and 13 can be side lengths of a triangle. If so, classify the triangle as acute,

right, or obtuse.
a. Yes; acute triangle
c. Yes; right triangle
b. Yes; obtuse triangle

Answer 1

Yes it can be a Acute

Answer 2

A. Yes; acute triangle

Explanation:

a=6

b=14

c=13

Using Pythagorean theorem-

c^2 = a^2 + b^2

13^2 = 6^2 + 14^2

169 = 36 + 196

169 = 232

169 < 232

Therefore, (a) the triangle is acute.

If 169 =169 there would be a right triangle.

If c were greater than a + b there would be an obtuse triangle.