The length of the line segment QU diagram containing three right triangles is 3 centimeters.
How find a missing length in a triangle system by similarity properties
In the figure given below we have a system of three distinct right triangles connected by three colinear segments. Given that the three triangles are similar, we can make of geometry properties for similarity to determine the length of the missing line segment.
In this question we must find a missing length by similarity properties, which is represented mathematically by proportions. From the figure we have the following relationship:
5/y = (5 - x)/(5 - y) = x/1 (1)
From (1) we have the following two formulas:
x = 5/y (2)
x = (5 - x)/(5-y) (3)
(2) in (3):
y = 3
The length of the line segment QU diagram containing three right triangles is 3 centimeters. [tex]\blacksquare[/tex]
To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/25813512
