Question

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth.
https://study.ashworthcollege.edu/access/content/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_8_files/mc005-1.jpg
A. x = 5.7, y = 6.9
B. x = 6.9, y = 5.7
C. x = 11.3, y = 8
D. x = 8, y = 11.3

Answer 1

A right triangle having 45 degree angle is isosceles since its two angles are 45 and 45. So 8 and y must be equal because they are the legs of an isosceles triangle.

Now by Pythagorean theorem, 8^2 + y^2 = x^2
putting y = 8, 8^2 + 8^2 = x^2
solving this equation you get x = 11.3

So the answer is x = 11.3 and y = 8

Answer 2

Thank you so much :)