In this article, you can find the ten most important questions from the Chapter,"Triangles".
You can print or save in PDF format.It will help you to revise your Class 10 Mathematics concepts and also helps in your Final Board Exam.
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Answer the following
1. In an equilateral triangle ABC, D is a point on the side BC, such that BD=⅓ BC.
Prove that 9AD2 =7AB2 4 marks
2. P and Q are the mid points of side CA and CB respectively of ABC right angled at C.
Prove that (AQ2+BP2) = 5AB2 4 marks
2. P and Q are the mid points of side CA and CB respectively of ABC right angled at C.
Prove that (AQ2+BP2) = 5AB2 4 marks
3. In a right ABC,right angled at C, P and Q are points of the sides CA and CB respectively, which divide these sides in theratio 2:1.
Prove that
a)9AQ2 = 9AC2+4BC2
b) 9BP2 = 9BC2+4AC2
4. Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals. 4 marks
5. In ABC, D and E trisects BC. Prove that 8AE2=3AC2+5AD2 4 marks
6. In ABC, P is the mid-point of BC and Q is the mid-point of AP. If BQ when produced meets AC at R, prove that RA=⅓ CA 4 marks
7. The diagonals of a quadrilateral ABCD intersect each other at the point O such that AO/BO=CO/DO. Show that ABCD is a trapezium 4 marks
8. P and Q are points on sides AB and AC respectively,of ABC. If AP=3cm, PB=6cm, AQ=5cm and QC=10cm, show that BC=3PQ 2 marks
9. DE II BC, if BD=3cm, AD=2 cm, AE=4 cm, then find the value of EC 2 marks
10. In ABC,a line PQ parallel to BC intersect AB at P and AC at Q, If AP:PB=1:2, then
