CBSE NCERT Solutions Chapter 6 Triangles Exercise 6.5 Question 16
16. In an equilateral triangle, prove that three times the square of one side is equal to four times the square of one of its altitudes.
Solution:
Given: ABC is an equilateral triangle and AD
BC.
To Prove:
Proof:
In
and
{Each 60
because ABC is an equilateral triangle}
{Each 90
}
By AA similarity criterion,
~
Therefore,
{Corresponding sides of similar triangles are proportional}
because AB = AC {3)
In
{By Pythagoras Theorem}
{AC = BC}
Hence Proved
Ronak singh ravat says
It’s nice………..
But i want pythagoras theorem proof not any example.