Question

can anyone help me find the value of x with this triangle?

Answer 1

let the other side of the right angle is"Y" and normal side to the hypotnes is "Z" then at the greatest triangle \[Y ^{2}=20^2-X^2\] at other triangle \[Y ^{2}=Z ^{2}+14^{2}\] at the smallest triangle \[X ^{2}=6^{2}+Z ^{2}\] but Z^2=Y^2-14^2 ;then\[X ^{2}=6^{2}+Y ^{2}-14^{2};but Y ^{2}=20^{2}-X ^{2}\]then\[X ^{2}=6^{2}+20^{2}-X ^{2}-14^{2}\]so you can solve this equation to get X