Q. 44.2( 26 Votes )

# In the given figure, AB||CD||EF. given AB = 7.5 cm, DC = ycm, EF = 4.5cm, BC = x cm. Calculate the values of x and y.

Answer :

Given, Ab = 7.5cm, DC = ycm, EF = 4.5cm and BC = xcm

Need to calculate values of x and y

⇒ Let us consider Δ ACB and Δ CEF

⇒ Both are similar triangles

∴

⇒ x = 5cm

⇒ let us consider Δ BCD and Δ BFE

⇒ from basic proportionality theorem we have we know that line drawn parallel to one side of the triangle, intersects the other two sides in distinct points, then it divides the other 2 side in same ratio.

⇒

⇒ y =

⇒ Y =

⇒ Y =

Hence, the value of X is 5cm and Y is

Rate this question :

In the given figure, AB||CD||EF. given AB = 7.5 cm, DC = ycm, EF = 4.5cm, BC = x cm. Calculate the values of x and y.

AP- Mathematics

ABD is a triangle right angled at A and AC ⊥ BD

Show that

i. AB^{2} = BC . BD

ii. AC^{2} = BC . DC

iii. AD^{2} = BD . CD

AP- Mathematics

In the given figure, ∠ADE = ∠B

i. Show that ΔABC ~ ΔADE

ii. If AD = 3.8cm, AE = 3.6 cm, BE = 2.1cm, BC = 4.2cm. find DE.

AP- Mathematics

In the given figure, DE||OQ and DF||OR. Show that EF||QR.

AP- Mathematics