Problem on Inequalities in Triangle

0
7


Here we will solve the problem on inequalities in triangle.

Let XYZ be a triangle in which XM bisects ∠YXZ.
Prove that XY is greater than YM.

Problem on Inequalities in Triangle

Solution:

As XM bisects ∠YXZ, we have ∠YXZ = ∠MXZ ………… (i)

Also, in ∆XMZ, ∠XMY > ∠MXZ, as an exterior angle of a
triangle is always greater then either of the interior opposite angles.

Therefore, ∠XMY > ∠YXM, [From (i)].

Therefore, XY > YM, as the greater angle has the greater
side opposite to it.


9th Grade Math

From Problem on Inequalities in Triangle to HOME PAGE


Didn’t find what you were looking for? Or want to know more information
about
Math Only Math.
Use this Google Search to find what you need.






Source link

LEAVE A REPLY

Please enter your comment!
Please enter your name here