Advertisements
Advertisements
प्रश्न
State and converse of Thale’s theorem.
उत्तर
If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.
APPEARS IN
संबंधित प्रश्न
In a ΔABC, D and E are points on the sides AB and AC respectively. For the following case show that DE || BC
AB = 2cm, AD = 8cm, AE = 12 cm and AC = l8cm.
In a ΔABC, P and Q are points on sides AB and AC respectively, such that PQ || BC. If AP = 2.4 cm, AQ = 2 cm, QC = 3 cm and BC = 6 cm, find AB and PQ.
D and E are the points on the sides AB and AC respectively of a ΔABC such that: AD = 8 cm, DB = 12 cm, AE = 6 cm and CE = 9 cm. Prove that BC = 5/2 DE.
Two vertical poles of height 9m and 14m stand on a plane ground. If the distance between their feet is 12m, find the distance between their tops.
In a ABC , AD is a median and AL ⊥ BC .
Prove that
(a) `AC^2=AD^2+BC DL+((BC)/2)^2`
(b) `AB^2=AD^2-BC DL+((BC)/2)^2`
(c) `AC^2+AB^2=2.AD^2+1/2BC^2`
◻ABCD is a parallelogram point E is on side BC. Line DE intersects ray AB in point T. Prove that DE × BE = CE × TE.
In fig., PS = 2, SQ = 6, QR = 5, PT = x and TR = y. Then find the pair of value of x and y such that ST || side QR.
A and B are respectively the points on the sides PQ and PR of a triangle PQR such that PQ = 12.5 cm, PA = 5 cm, BR = 6 cm and PB = 4 cm. Is AB || QR? Give reasons for your answer.
In figure, PA, QB, RC and SD are all perpendiculars to a line l, AB = 6 cm, BC = 9 cm, CD = 12 cm and SP = 36 cm. Find PQ, QR and RS.
In the given figure, DE || BC. If AD = 3 cm, AB = 7 cm and EC = 3 cm, then the length of AE is ______.
