Question

In the givenfigure, ABCD is a rectangle in which segment AP and AQ are drawn such that angle APB = angle AQD =30degree. Find the length of (AP+AQ).

Answer 1

ABCD is the mentioned rectangle,let  a be its length and b be it's breath. and   let x be the length of DQ andBP. so, by pythagorus theorem  AQ²= QD² +AD²  AP²=AB² +BP²                 AP+AQ  =   2.ax + 2.bx