Advertisements
Advertisements
प्रश्न
In the given figure, given that ∆ABC ∼ ∆PQR and quad ABCD ∼ quad PQRS. Determine the value of x, y, z in each case.
उत्तर
We have, `Δ ABCD ∼ Δ PQRS `
So the ratio of the sides of the quadrilaterals will be proportional to each other.
`(AB)/(PQ)=(BC)/(QR)=(CD)/(RS)=(DA)/(SP)`
Therefore put the values of the known terms in the above equation to get,
`20/7=16/x=50/y=50/(3z)`
On solving these simultaneous equations, we get
`x= 28/5`
`y=35/2`
`z=35/6`
APPEARS IN
संबंधित प्रश्न
A vertical stick of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.
In ∆ABC, points P and Q are on CA and CB, respectively such that CA = 16 cm, CP = 10 cm, CB = 30 cm and CQ = 25 cm. Is PQ || AB?
ABCD is a rectangle. Points M and N are on BD such that AM ⊥ BD and CN ⊥ BD. Prove that BM2 + BN2 = DM2 + DN2.
If the areas of two similar triangles ABC and PQR are in the ratio 9 : 16 and BC = 4.5 cm, what is the length of QR?
In the given figure, ∆AHK is similar to ∆ABC. If AK = 10 cm, BC = 3.5 cm and HK = 7 cm, find AC.
If D, E, F are the mid-points of sides BC, CA and AB respectively of ∆ABC, then the ratio of the areas of triangles DEF and ABC is
In an equilateral triangle ABC if AD ⊥ BC, then
If ∆ABC ∼ ∆DEF such that DE = 3 cm, EF = 2 cm, DF = 2.5 cm, BC = 4 cm, then perimeter of ∆ABC is
In an isosceles triangle ABC if AC = BC and AB2 = 2AC2, then ∠C =
D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then, length of DE (in cm) is ______.
