Give the angle classification of the triangle
with side lengths 3 cm, 5 cm, and 7 cm.

Given:

The sides of a triangle are 3 cm, 5 cm, 7 cm.

To find:

The angle classification of the given triangle.

Solution:

Let a,b,c are the three sides of a triangle ABC, where c is the longest side.

1. Triangle ABC is acute, if .

2. Triangle ABC is acute, if .

3. Triangle ABC is acute, if .

The sum of square of two smaller sides is

In the given triangle 7 cm is the longest sides. So,

It means,

Since , therefore, the triangle ABC is an acute triangle.

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step-by-step explanation: