Home
Class 10
MATHS
A and B are respectively the points on t...

A and B are respectively the points on the sides PQ and PR of a `Delta PQR` such that PQ =12.5 cm, PA= 5 cm, BR = 6 cm and PB = 4 cm. Is AB `abs` QR? Give reason for your answer.

Text Solution

AI Generated Solution

To determine whether line segment AB is parallel to side QR in triangle PQR, we will use the properties of triangles and the converse of the Basic Proportionality Theorem (also known as Thales' theorem). ### Step-by-Step Solution: 1. **Identify the given lengths:** - PQ = 12.5 cm - PA = 5 cm - PB = 4 cm ...
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NCERT EXEMPLAR ENGLISH|Exercise Short Answer Type Questions|15 Videos
  • TRIANGLES

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|18 Videos
  • TRIANGLES

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|18 Videos
  • SURFACE AREAS AND VOLUMES

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|20 Videos

Similar Questions

Explore conceptually related problems

Construct a triangle ABC such that AB = 4 . 5 cm, BC = 6 cm and CA = 4 . 8 cm

D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2cm, BD = 3 cm, BC = 7.5 cm and DE |\ | BC. Then, length of DE (in cm) is (a) 2.5 (b) 3 (c) 5 (d) 6

PQR is a triangle. S is a point on the side QR of DeltaPQR such that /_PSR = /_QPR . Given QP = 8 cm, PR = 6 cm and SR = 3 cm. Find the lengths of QR and PS.

PQR is a triangle. S is a point on the side QR of DeltaPQR such that /_PSR = /_QPR . Given QP = 8 cm, PR = 6 cm and SR = 3 cm. Prove DeltaPQR ~ DeltaSPR .

Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reason for your answer.

S and T are points on the sides PQ and PR, respectively of Delta PQR , such that PT = 2 cm, TR = 4 cm and ST is parallel to QR. Find the ratio of the areas of Delta PST and Delta PQR .

Construct a Delta ABC such AB=5 cm, BC = 4.6 cm and AC = 4.3 cm

Construct Delta ABC with AB = 4.5 cm, BC = 7 cm and CA = 6 cm.

Construct a Delta ABC such BC = 6 cm, CA = 4 cm and AB = 3.5 cm

Construct Delta PQR with PQ = 4.8 cm, RP = 5.5 cm, and angle RPQ = 60^(@)