Related InterviewSolutions

• In an isosceles triangle, length of the congruent sides is 13 em and its.base is 10 cm. Find the distance between the vertex opposite to the base and the centroid. 
• In the adjoining figure, M is the midpoint of QR. ∠PRQ = 90°. Prove that, PQ2 = 4 PM2 – 3 PR2 .
• Out of the following which is the Pythagorean triplet? (A) (1,5,10) (B) (3,4,5) (C) (2,2,2) (D) (5,5,2)
• In ∆ABC, seg AD ⊥ seg BC and DB = 3 CD. Prove that: 2AB2 = 2AC2 + BC2. Given: seg AD ⊥ seg BC DB = 3CD To prove: 2AB2 = 2AC2 + BC2
• In the adjoining figure, ∠DFE = 90°, FG ⊥ ED. If GD = 8, FG = 12, find i. EG ii. FD, and iii. EF
• In ∆ABC, point M is the midpoint of side BC. If AB2 + AC2 = 290 cm, AM = 8 cm, find BC.
• Identify, with reason, which of the following are Pythagorean triplets. i. (3, 5, 4) ii. (4, 9, 12) iii. (5, 12, 13) iv. (24, 70, 74) v. (10, 24, 27) vi. (11, 60, 61)
• In the adjoining figure, ∠MNP = 90° , seg NQ ⊥ seg MP,MQ = 9, QP = 4, find NQ.
• In the adjoining figure, ∠MNP = 90°, seg NQ ⊥ seg MP, MQ = 9, QP = 4, find NQ.
• See adjoining figure. Find RP and PS using the information given in ∆PSR.