Question

A triangular piece of fabric has side lengths of 1.2 feet, 2 feet, and 1.6 feet. Will it fit in the corner of a rectangular quilt? Explain.

A.


Yes, because it is a right triangle.

B.


Yes, because it is an isosceles triangle.

C.


No, because it is an equilateral triangle.

D.


No, because it is an obtuse triangle.

Answer 1

The answer is yes, because it is a right triangle. :)

Explanation:

Answer 2

Option A - Yes, because it is a right triangle.

Explanation:

Given : A triangular piece of fabric has side lengths of 1.2 feet, 2 feet, and 1.6 feet.

To find : Will it fit in the corner of a rectangular quilt? Explain.

Solution :

A Pythagorean Triple is made up of three values, a,b and c that follows the relationship
`c^2=a^2+b^2`

Here, a=1.2, b=1.6 and c=2

`2^2=(1.2)^2+(1.6)^2\\\\4=1.44+2.56\\\\4=4`

The Pythagorean triplet is satisfied so it is a right angle triangle.

Therefore, yes the corner of a rectangular quilt because it is a right triangle.