Advertisements
Advertisements
प्रश्न
The areas of two similar triangles ABC and PQR are in the ratio 9:16. If BC = 4.5 cm, find the length of QR.
उत्तर
We have,
ΔABC ~ ΔPQR
`("area"(triangleABC))/("area"(trianglePQR))="BC"^2/"QR"^2`
`rArr9/16=4.5^2/"QR"^2`
`rArr3/4=4.5/"QR"` [Taking square root]
`rArr"QR"=(4xx4.5)/3=6` cm
APPEARS IN
संबंधित प्रश्न
In a trapezium ABCD, O is the point of intersection of AC and BD, AB || CD and AB = 2 × CD. If the area of ∆AOB = 84 cm2 . Find the area of ∆COD
Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.
Triangles ABC and DEF are similar If area (ΔABC) = 36 cm2, area (ΔDEF) = 64 cm2 and DE = 6.2 cm, find AB.
∆ABC and ∆DEF are equilateral triangles. If A(∆ABC) : A(∆DEF) = 1 : 2 and AB = 4, find DE.
The perpendicular from A on side BC of a Δ ABC meets BC at D such that DB = 3CD. Prove that 2AB2 = 2AC2 + BC2.
In ΔABC, PQ is a line segment intersecting AB at P and AC at Q such that seg PQ || seg BC. If PQ divides ΔABC into two equal parts having equal areas, find `"BP"/"AB"`.
If ΔABC ~ ΔPQR, AB : PQ = 4 : 5 and A(ΔPQR) = 125 cm2, then find A(ΔABC).
In the adjoining figure, ΔADB ∼ ΔBDC. Prove that BD2 = AD × DC.
If the perimeter of two similar triangles is in the ratio 2 : 3, what is the ratio of their sides?
If ΔPQR ∼ ΔABC; PQ = 6 cm, AB = 8 cm and the perimeter of ΔABC is 36 cm, then the perimeter of ΔPQR is ______.
