Advertisements
Advertisements
प्रश्न
In the given figure, PQ || AB; CQ = 4.8 cm QB = 3.6 cm and AB = 6.3 cm. Find : If AP = x, then the value of AC in terms of x.
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)
`=> (CP)/(AC) = (CQ)/(CB)`
`=> (CP)/(AC) = (4.8)/(8.4) = 4/7 `
So, if AC is 7 parts, and CP is 4 parts, then PA is 3 parts.
Given, AP = x
or 3 parts = x
`=>` 1 part = `x/3`
`=>` 7 parts = `(7x)/3`
Hence, AC = `(7x)/3`
APPEARS IN
संबंधित प्रश्न
In figure, ∠CAB = 90º and AD ⊥ BC. If AC = 75 cm, AB = 1 m and BD = 1.25 m, find AD.
In the given figure, triangle ABC is similar to triangle PQR. AM and PN are altitudes whereas AX and PY are medians.
prove that
`("AM")/("PN")=("AX")/("PY")`
In the given figure, DB⊥BC, DE⊥AB and AC⊥BC.
Prove that `(BE)/(DE)=(AC)/(BC)`
A ship is 400m laig and 100m wide. The length of its model is 20 cm. find the surface area of the deck of the model.
A triangle LMN has been reduced by scale factor 0.8 to the triangle L' M' N'. Calculate: the length of LM, if L' M' = 5.4 cm.
Prove that, if a line is drawn parallel to one side of a triangle to intersect the other two sides, then the two sides are divided in the same ratio.
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?
Given that ΔABC ∼ ΔPRQ, name the corresponding angles and the corresponding sides.
A model of cargo tuck is made to a scale of 1:40. The length of the model is 15cm. Calculate: The length of the truck
In the figure PQ || BC. If `"PQ"/"BC" = 2/5` then `"AP"/"PB"` is ______.
