# Solution - Pythagoras Theorem

Account
Register

Share

Books Shortlist
Your shortlist is empty
ConceptPythagoras Theorem

#### Question

If ABC is an equilateral triangle of side a, prove that its altitude =  \frac { \sqrt { 3 } }{ 2 } a

#### Solution

You need to to view the solution
Is there an error in this question or solution?

#### Similar questions

A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

view solution

In a ∆ABC, AD ⊥ BC and AD2 = BC × CD. Prove ∆ABC is a right triangle

view solution

P and Q are the mid-points of the sides CA and CB respectively of a ∆ABC, right angled at C. Prove that:

(i) 4AQ^2 = 4AC^2 + BC^2

(ii) 4BP^2 = 4BC^2 + AC^2

(iii) (4AQ^2 + BP^2 ) = 5AB^2

view solution

In Figure ABD is a triangle right angled at A and AC ⊥ BD. Show that

AC2 = BC × DC

view solution

The diagonal of a rectangular field is 16 metres more than the shorter side. If the longer side is 14 metres more than the shorter side, then find the lengths of the sides of the field.

view solution

S