Advertisements
Advertisements
प्रश्न
D and E are points on the sides AB and AC respectively of a ΔABC such that DE║BC.
If AB = 13.3cm, AC = 11.9cm and EC = 5.1cm, find AD.
उत्तर
In Δ ABC, it is given that DE || BC.
Applying Thales’ Theorem, we get :
`(AD)/(DB) = (AE)/(EC)`
Adding 1 to both sides, we get :
`(AD)/(DB) +1= (AE)/(EC) + 1`
⟹ `(AB)/(DB) = (AC)/(EC)`
⟹ `13.3/(DB) = (11.9)/(5.1)`
⟹ `DB = (13.3 × 5.1)/11.9 =5.7 cm`
Therefore, AD=AB-DB=13.5-5.7=7.6 cm
APPEARS IN
संबंधित प्रश्न
In ΔABC, D and E are points on the sides AB and AC respectively such that DE || BC
If `"AD"/"DB"=3/4` and AC = 15 cm, find AE
In a ΔABC, D and E are points on AB and AC respectively such that DE || BC. If AD = 2.4cm, AE = 3.2 cm, DE = 2cm and BC = 5 cm, find BD and CE.
M and N are points on the sides PQ and PR respectively of a ΔPQR. For the following case, state whether MN || QR
PM = 4cm, QM = 4.5 cm, PN = 4 cm and NR = 4.5 cm
D and E are points on the sides AB and AC respectively of a ΔABC such that DE║BC.
If` (AD)/(AB) = 8/15 and EC = 3.5cm`, find AE.
D and E are points on the sides AB and AC respectively of a ΔABC such that DE║BC. Find the value of x, when
AD = x cm, DB = (x – 2) cm, AE = (x + 2) cm and EC = (x – 1) cm.
In the given figure, ∠ACB 90° CD ⊥ AB Prove that `(BC^2)/(AC^2)=(BD)/(AD)`
An aeroplane leaves an airport and flies due north at a speed of 1000km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after` 1 1/2` hours?
In the adjoining figure,
seg XY || seg AC, If 3AX = 2BX
and XY = 9 then find the length of AC.
In ΔABC, AB = 6 cm and DE || BC such that AE = `1/4` AC then the length of AD is ______.
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.
