Question

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

Answer 1

Answer:

No

Step-by-step 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

Answer:

No

Step-by-step 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.