Question

Calculate the value of b in the triangle below.

Answer 1

The value of b is 12

Answer 2

In triangle ABC with a right angle at B, the value of b is 12 m.

In triangle ABC, since ABC = 90 degrees, we can use the Pythagorean theorem to find the value of b.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the lengths of the other two sides (AB and BC).

In this case,
`AC^2 = AB^2 + BC^2`.

Plugging in the given values, we have
`13^2 = 5^2 + b^2.`

Solving for b, we get
`b = √((13^2 - 5^2)) = {sqrt(169 - 25)} = √((144)) = 12 meters.`