Advertisements
Advertisements
प्रश्न
In the figure given below, Ray PT is bisector of ∠QPR. If PQ = 5.6 cm, QT = 4 cm and TR = 5 cm, find the value of x .
उत्तर
Given: ray PT is bisector of ∠QPR.
PQ = 5.6 cm, QT = 4 cm and TR = 5 cm.
In a triangle, the angle bisector divides the side opposite to the angle in the ratio of the remaining sides.
`"QT"/"TR"="PQ"/"PR"`
`4/5=5.6/x`
`x=(5.6xx5)/4`
`x=28/4=7`
`PR=7cm`
APPEARS IN
संबंधित प्रश्न
In a triangle ABC, line l || Side BC and line l intersects side AB and AC in points P and Q, respectively. Prove that: `"AP"/"BP"="AQ"/"QC"`
In figure, ∠BAC = 90º and segment AD ⊥ BC. Prove that AD2 = BD × DC.
The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of first triangle is 9 cm, what is the corresponding side of the other triangle?
State, true or false:
Two congruent polygons are necessarily similar.
In the given figure, ABC is a triangle. DE is parallel to BC and `(AD)/(DB) = 3/2`.
- Determine the ratios `(AD)/(AB)` and `(DE)/(BC)`.
- Prove that ∆DEF is similar to ∆CBF. Hence, find `(EF)/(FB).`
- What is the ratio of the areas of ∆DEF and ∆BFC?
The two similar triangles are equal in area. Prove that the triangles are congruent.
In Δ ABC, D and E are points on the sides AB and AC respectively. If AD= 4cm, DB=4.Scm, AE=6.4cm and EC=7.2cm, find if DE is parallel to BC or not.
A triangle ABC has been enlarged by scale factor m = 2.5 to the triangle A' B' C'. Calculate : the length of AB, if A' B' = 6 cm.
In the given figure, PQ || AB; CQ = 4.8 cm QB = 3.6 cm and AB = 6.3 cm. Find :
- `(CP)/(PA)`
- PQ
- If AP = x, then the value of AC in terms of x.
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.
Choose the correct alternative:
If ΔABC ~ ΔPQR and 4A (ΔABC) = 25 A(ΔPQR), then AB : PQ = ?
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 adjoining figure. BC is parallel to DE, area of ΔABC = 25 sq cm, area of trapezium BCED = 24 sq cm, DE = 14 cm. Calculate the length of BC.
PQ is perpendicular to BA and BD is perpendicular to AP.PQ and BD intersect at R. Prove that ΔABD ∼ ΔAPQ and `"AB"/"AP" = "BD"/"PQ"`.
Through the vertex S of a parallelogram PQRS, a line is drawn to intersect the sides Qp and QR produced at M and N respectively. Prove that `"SP"/"PM" = "MQ"/"QN" = "MR"/"SR"`
Two figures are similar. If the ratio of their perimeters is 8:16. What will be the ratio of the corresponding sides?
A plot of land of area 20km2 is represented on the map with a scale factor of 1:200000. Find: The number of KM represented by 2cm on the map.
In any triangle _______ sides are opposite to equal angles
Areas of two similar triangles are equal then prove that triangles are congruent
If ∆ABC ~ ∆QRP, `(ar(ABC))/(ar(PQR)) = 9/4`, AB = 18 cm and BC = 15 cm, then PR is equal to ______.
