Question

This figure is right triangle A B C, with right angle at vertex C. Leg A C measures 4 units. Leg B C measures 3 units. Hypotenuse A B measures 5 units.









Triangle

is shown. What is

?

Answer 1

The missing side of the triangle can be found using the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides.

So, in this case, we have:

A^2 + B^2 = C^2

Substitute the given values:

4^2 + 3^2 = C^2
16 + 9 = C^2
25 = C^2

Taking the square root of both sides:

C = √25
C = 5 units

Therefore, the missing side of the triangle, denoted as side C, measures 5 units.