Question

A triangle has sides with lengths of 60 millimeters, 82 millimeters, and 100 millimeters. Is it a right triangle?

Yes or No

Answer 1

No

Explanation:

Pythagorean Theorem

60 x 60 = 3600

82 x 82 = 6724

6724 + 3600 = 10324, not 10000 (100 squared)

So it isn't a right triangle

Answer 2

No

Explanation:

Longest side of the triangle has the length = 100 mm

Other two sides are 60 mm and 82 mm

If the triangle is a right triangle then square of the longest side is equal to the sum of squares of the other two sides.

`\[=> 100^(2) = 60^(2) + 82^(2)\]`

Left Hand Side =
`\[100^(2)\]` = 10000

Right Hand Side =
`\[60^(2) + 82^(2)\]`

=
`\[3600 + 6724\]`

=
`\[10324\]`

So the left hand side is not equal to right hand side. The condition for right triangle is NOT satisfied.