# Solution - Pythagoras Theorem

Account
Register

Share

Books Shortlist
ConceptPythagoras Theorem

#### Question

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

#### Solution

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

#### Similar questions VIEW ALL

Side of a triangle is given, determine it is a right triangle.

(2a – 1) cm, 2\sqrt { 2a } cm, and (2a + 1) cm

view solution

Nazima is fly fishing in a stream. The tip of her fishing rod is 1.8 m above the surface of the water and the fly at the end of the string rests on the water 3.6 m away and 2.4 m from a point directly under the tip of the rod. Assuming that her string (from the tip of her rod to the fly) is taut, ho much string does she have out (see Figure)? If she pulls in the string at the rate of 5 cm per second, what will be the horizontal distance of the fly from her after 12 seconds?

view solution

In the following figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC and OF ⊥ AB. Show that

(i) OA2 + OB2 + OC2 − OD2 − OE2 − OF2 = AF2 + BD2 + CE2

(ii) AF2 + BD2 + CE= AE2 + CD2 + BF2

view solution

Sides of triangle are given below. Determine it is a right triangle or not? In case of a right triangle, write the length of its hypotenuse.

50 cm, 80 cm, 100 cm

view solution

D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE+ BD2 = AB2 + DE2

view solution

#### Reference Material

Solution for concept: Pythagoras Theorem. For the course 8th-10th CBSE
S