Advertisements
Advertisements
प्रश्न
In the following figure, point D divides AB in the ratio 3 : 5. Find : `(AE)/(AC)`
उत्तर
Given that `(AD)/(DB) = 3/5`
So, `(AD)/(AB) = 3/8`
In ΔADE and ΔABC,
∠ADE = ∠ABC ...(Since DE || BC, so the angles are corresponding angles)
∠A = ∠A ...(Common angle)
∴ ΔADE ∼ ΔABC ...(AA criterion for similarity)
`=> (AD)/(AB) = (AE)/(AC)`
`=> (AE)/(AC) = 3/8`
APPEARS IN
संबंधित प्रश्न
In the following figure, seg DH ⊥ seg EF and seg GK ⊥ seg EF. If DH = 18 cm, GK = 30 cm and `A(triangle DEF) = 450 cm^2`, then find:
1) EF
2) `A(triangle GFE)`
3) `A(square DFGE)`
In the given figure ABC is a triangle with ∠EDB = ∠ACB. Prove that Δ ABC ~ Δ EBD. If BE = 6 cm, EC = 4 cm, BD = 5 cm. And area of Δ BED = 9 cm2. Calculate the
(1) length of AB
(2) area of Δ ABC
In the given figure, ∆ABC and ∆AMP are right angled at B and M respectively.
Given AC = 10 cm, AP = 15 cm and PM = 12 cm.
- Prove that: ∆ABC ~ ∆AMP
- Find: AB and BC.
The areas of two similar triangles are `64cm^2` and `100cm^2` respectively. If a median of the smaller triangle is 5.6cm, find the corresponding median of the other.
In ΔABC, D and E are the mid-point on AB and AC such that DE || BC.
If AD : BD = 4 : 5 and EC = 2.5cm, find AE.
On a map drawn to a scale of 1:25000, a rectangular plot of land has sides 12cm x 16cm. Calculate: The diagonal distance of the plot in km
Two vertical poles of heights 6 m and 3 m are erected above a horizontal ground AC. Find the value of y
If ΔABC ~ ΔLMN and ∠A = 60° then ∠L = ?
ΔPQR ~ ΔSUV. Write pairs of congruent angles
In ∠BAC = 90° and AD ⊥ BC. A then ______.
