Question

Which of the following measurements could be the side lengths of a right triangle?
A. 55 in, 88 in, 110 in
B. 66 in, 88 in, 110 in
C. 66 in, 99 in, 110 in
D. 66 in, 88 in, 132 in

Answer 1

For this case we have that every rectangle traingule complies with the Pythagorean theorem:

$c = \sqrt {a ^ 2 + b ^ 2}$

Where:

c: It is the hypotenuse

b: It's the base

a: It's the height

It is noted that if we replace:

$a = 66\\b = 88\\c = \sqrt {66 ^ 2 + 88 ^ 2}\\c = 110$

So, we have $c = 110 \ in ^ 2$

If we evaluate the other options we will obtain wrong results.

Thus, a rectangle triangle can have measurements of:

66 in, 88 in and 110 in respectively

Answer:

Option b