Question

Classify the triangle by its angles and sides.

Answer 1

Answer:

Obtuse Scalene

Step-by-step explanation:

Given

Sides of triangle: 6in, 5in and 8in

Required

Classify the triangle by angles and sides

Given that none of the three sides of the triangle are equal; we can conclude that the triangle is a scalene triangle.

The next is to determine what type of scalene triangle it is.... Obtuse or Right angled?

For the triangle to be a right scalene; then one of its angles must be 90 degrees

And for one of its angles to be 90 degrees, the three sides must obey Pythagoras theorem where;

the square of the biggest side must be equal to the sum of the square of the other two sides

In other words;

$8^2 := 6^2 + 5^2$

$64 := 36 + 25$

$64 \neq 61$

Since, the above condition doesn't apply to the sides of the triangle, then it's safe to conclude that the triangle is an obtuse scalene