The missing side in the similar figure below is 42.
We are given a diagrammatic expression of two triangles and we are asked to find the missing side in a similar triangle. To be able to solve this question, we need to understand what are triangles and the possible types of triangles.
What is a Triangle?
A triangle is a plane figure that has three sides and three angles. The major types of triangles include:
- Right angle triangle (an angle that is 90°)
- Isosceles triangle (two sides of the triangle are equal)
- Scalene triangle ( no sides are equal)
The example of the triangle given is a right-angle triangle and can be solved by using the Pythagoras theorem.
The Pythagoras theorem states that the hypotenuse squared is equal to the sum of the opposite squared and the adjacent squared.
hyp² = opp² + adj²
48² = x² + 24²
2304 = x² + 576
x² = 2304 - 576
x² = 1728
x = √1728
x = 41.57
x ≅ 42
Learn more about triangles here:
https://brainly.com/question/12852445
