Question

A triangle has side lengths of 7, 24, and 26. Is the triangle right, acute, or obtuse?
A) Right
B) Acute
C) Obtuse

Answer 1

In a right triangle:

\( \color{Black}{\Rightarrow a^2 + b^2 = c^2 }\)

In an acute triangle:

\( \color{Black}{\Rightarrow a^2 + b^2 > c^2 }\)

In an obtuse triangle:

\( \color{Black}{\Rightarrow a^2 + b^2 <c^2 }\)

Answer 2

Note that in a right triangle, c has to be strictly the longest side.

Answer 3

Whereas, in the other two, you may assume any three sides as a,b and c, regardless of order.

Answer 4

It's a right angle then