turkey-yks 2025 Q34

turkey-yks · Other · yks-tyt Not Maths
Three right triangles with areas proportional to 1, 2, and 3 respectively in yellow, blue, and red colors are combined as shown in the figure such that one of the yellow triangle's legs coincides with one leg of the blue triangle, and the other leg coincides with one leg of the red triangle.
Given that the hypotenuse lengths of the yellow and blue triangles are 11 and 13 units respectively, what is the hypotenuse length of the red triangle in units?
A) 28 B) 29 C) 30 D) 31 E) 32
Three right triangles with areas proportional to 1, 2, and 3 respectively in yellow, blue, and red colors are combined as shown in the figure such that one of the yellow triangle's legs coincides with one leg of the blue triangle, and the other leg coincides with one leg of the red triangle.

Given that the hypotenuse lengths of the yellow and blue triangles are 11 and 13 units respectively, what is the hypotenuse length of the red triangle in units?

A) 28
B) 29
C) 30
D) 31
E) 32