Advertisements
Advertisements
प्रश्न
In the adjacent figure, ∆ACB ~ ∆APQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm and AP = 2.8 cm, find CA and AQ
उत्तर
Given ∆ACB ~ ∆APQ
`"AC"/"AP" = "BC"/"PQ" = "AB"/"AQ"`
`"AC"/2.8 = 8/4 = 6.5/"AQ"`
Consider `"AC"/2.8 = 8/4`
4AC = 8 × 2.8
AC = `(8 xx 2.8)/4` = 5.6 cm
Consider `8/4 = 6.5/"AQ"`
8AQ = 4 × 6.5
AQ = `(4 xx 6.5)/8` = 3.25 cm
Length of AC = 5.6 cm, Length of AQ = 3.25 cm
APPEARS IN
संबंधित प्रश्न
Through the mid-point M of the side CD of a parallelogram ABCD, the line BM is drawn intersecting AC in L and AD produced in E. Prove that EL = 2 BL
ABCD is a trapezium in which AB || DC and its diagonals intersect each other at the point O. Show that `("AO")/("BO") = ("CO")/("DO")`
In the given figure, if ∠ADE = ∠B, show that ΔADE ~ ΔABC. If AD = 3.8cm, AE = 3.6cm, BE = 2.1cm and BC = 4.2cm, find DE.
ΔABC~ΔPQR and ar(ΔABC) = 4, ar(ΔPQR) . If BC = 12cm, find QR.
If in ∆DEF and ∆PQR, ∠D ≅ ∠Q, ∠R ≅ ∠E then which of the following statements is false?
Find the area of the triangle ABC with the coordinates of A as (1, −4) and the coordinates of the mid-points of sides AB and AC respectively are (2, −1) and (0, −1).
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.
In ΔABC, D and E are the mid-point on AB and AC such that DE || BC.
If AD = 8cm, AB = 12cm and AE = 12cm, find CE.
ΔABC ~ ΔDEF. Write the ratios of their corresponding sides
In figure, if AD = 6cm, DB = 9cm, AE = 8cm and EC = 12cm and ∠ADE = 48°. Find ∠ABC.
