Question

If the legs of a right trangle are 2 and 3 inches long can the hypotenuse be 4 inches long

Answer 1

No.

Explanation:

the Pythagorean Theorem states that a²+b²=c²

where a and b are the legs and c is the hypotenuse of a right triangle

in this case we need to know if 2²+3²=4²

2²=4

3²=9

4²=16

4+9=13

13≠16

so no, the hypotenuse cannot be 4 inches long.

Answer 2

No.

Explanation:

Using the Pythagorean Theorem, a^2 + b^2 = c^2, this would not be possible, because 4 + 9 does not equal 16.

2 × 2 = 4

3 × 3 = 9

4 × 4 = 16