# Solution - Pythagoras Theorem

Account
Register

Share

Books Shortlist
ConceptPythagoras Theorem

#### Question

In triangle ABC, ∠C=90°. Let BC= a, CA= b, AB= c and let 'p' be the length of the perpendicular from 'C' on AB, prove that:

1. cp = ab

2. 1/p^2=1/a^2+1/b^2

#### Solution

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

#### Similar questions VIEW ALL

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.

view solution

From a point O in the interior of a ∆ABC, perpendicular OD, OE and OF are drawn to the sides BC, CA and AB respectively. Prove
that :



(ii) AF^2 + BD^2 + CE^2 = AE^2 + CD^2 + BF^2

view solution

ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2

view solution

In the given figure, AD is a median of a triangle ABC and AM ⊥ BC. Prove that:

1)AC^2 = AD^2 + BC . DM + ((BC)/2)^2

2) AB^2 = AD^2 – BC . DM + ((BC)/2)^2

3) AC^2 + AB^2 = 2 AD^2 + 1/2(BC)^2

view solution

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
Solution for concept: Pythagoras Theorem. For the course 9th - 10th SSC (English Medium)
S