Advertisements
Advertisements
प्रश्न
In the given figure, PQ || AB; CQ = 4.8 cm QB = 3.6 cm and AB = 6.3 cm. Find : PQ
उत्तर
In ΔCPQ and ΔCAB,
∠PCQ = ∠ACB ...(Since PQ || AB, so the angles are corresponding angles)
∠C = ∠C ...(Common angle)
∴ ΔCPQ ∼ ΔCAB ...(AA criterion for similarity)
`=> (PQ)/(AB) = (CQ)/(CB)`
`=> (PQ)/(6.3) = (4.8)/(8.4) `
So, PQ = 3.6
APPEARS IN
संबंधित प्रश्न
In figure, if ∠A = ∠C, then prove that ∆AOB ~ ∆COD
See the given figure. DE || BC. Find AD.
In ΔABC, D and E are the midpoints of AB and AC respectively. Find the ratio of the areas of ΔADE and ΔABC.
In the given figure, ∠ABC = 75°, ∠EDC = 75° state which two triangles are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.
Δ ABC ~ Δ DEF. If BC = 3cm , EF=4cm and area of Δ ABC = 54 cm2 , find area of Δ DEF.
A triangle ABC is enlarged, about the point O as centre of enlargement, and the scale factor is 3. Find : OC', if OC = 21 cm.
Also, state the value of :
- `(OB^')/(OB)`
- `(C^'A^')/(CA)`
In the given figure, ABC is a triangle. DE is parallel to BC and `"AD"/"DB" = (3)/(2)`.
(i) Determine the ratios `"AD"/"AB","DE"/"BC"`.
(ii) Prove that ΔDEF is similar to ΔCBF.
Hence, find `"EF"/"FB"`.
(iii) What is the ratio of the areas of ΔDEF and ΔBFC?
In the given figure ABC and CEF are two triangles where BA is parallel to CE and AF: AC = 5: 8.
(i) Prove that ΔADF ∼ ΔCEF
(ii) Find AD if CE = 6 cm
(iii) If DF is parallel to BC find area of ΔADF: area of ΔABC.
If ΔABC, D and E are points on AB and AC. Show that DE || BC for each of the following case or not:
AB = 10.8cm, BD = 4.5cm, AC = 4.8cm, and AE = 2.8cm
In the given figure, if ΔEAT ~ ΔBUN, find the measure of all angles.