Question

the lengths of the sides of a triangle are 8,10 and 15. classify the triangle as acute, right or obtuse

Answer 1

Given the side lengths of a triangle:

8, 10 and 15.

Let's apply the pythagorean theorem to classify the triangle.

We have:

If a²+b² = c² then it's a right triangle

If a²+b² > c² then it's an acute triangle

If a²+b² < c² then it's an obtuse triangle.

Where:

a = 8

b = 10

c = 15

Thus, we have:

`\begin{gathered} ^{}8^2+10^2=15^2 \\ \\ 64+100=225 \\ \\ 164<225 \end{gathered}`

Since a²+b² < c², the triangle is an obtuse triangle.

ANSWER:

Obtuse