Classify the triangle based on the side lengths 4.2, 6.4 and 7.6.

right

acute

obtuse

no triangle can be formed with given side lengths

Question

Jade Mcdaniel

Mathematics

24 January, 13:52

Classify the triangle based on the side lengths 4.2, 6.4 and 7.6.

right

acute

obtuse

no triangle can be formed with given side lengths

+5

Answers (1)

Know the Answer?

Jaden Hines · Answer 1

The triangle is acute.

Step-by-step explanation:

Basically, you need to use Pythagoras Theorem.

This is what you need to know then

In ABC with longest side c:

c²
c²=a²+b² then the triangle is right.

c²>a²+b² then the triangle is obtuse.

So let's go Pythagoras Theorem for your triangle.

4.2²=17.64

6.4²=40.96

7.6²=57.76

57.76<17.64+40.96

So the triangle is acute

Classify the triangle based on the side lengths 4.2, 6.4 and 7.6.rightacuteobtuseno triangle can be formed with given side lengths

Classify the triangle based on the side lengths 4.2, 6.4 and 7.6.

right

acute

obtuse

no triangle can be formed with given side lengths