Home
Class 10
MATHS
14 In Fig. 6.21, PA, QB Rc and SD are al...

14 In Fig. 6.21, PA, QB Rc and SD are all perpendiculars to a line l, AB 6 cm, Bc 9 cm, CD 12 cm and SP 36 cm Find PO, QR an RS. Fig. 6.21

Text Solution

Verified by Experts

Here AB = 6 cm , BC = 9 cm, CD = 12 cm, and SP= 36 cm,
since PA, QB , RC , SD are all perpendiculars to l .
PA||QB||RC||SD
and PA:QR:RS = AB : BC: CD
6:9:12 = 2 :3:4
Let PQ = 2x, QR = 3x and RS = 4x
Given That , PS = 36 cm
`Rightarrow " " 2x+3x +4x = 36`
9x= 36
x=4
`PQ=2x=2xx4=8cm`
` QR= 3x = 3xx4 = 12 cm `
`RS= 4x= 4xx 4 = 16 cm`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6a|24 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Eercise 6b|1 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Questions|1 Videos

  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revisions Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

In the given figure, AB and DE are perpendiculars to BC If AB = 6 cm, DE = 4 cm and AC = 15 cm. Calculate CD.

In the given figure, AB and DE are perpendicular to BC. (iI) If AB = 6 cm, DE = 4 cm and AC = 15 cm. Calculate CD.

Construct a Delta ABC such BC = 6 cm, CA = 4 cm and AB = 3.5 cm

In the figure, given alongside, PB and QA are perpendiculars to the line segment AB. If PO = 6 cm, QO = 9 cm and area of Delta POB - 120 cm^2 . find the area of Delta QOA .

Construct a Delta ABC such AB=5 cm, BC = 4.6 cm and AC = 4.3 cm

In the adjoining figure, AB = 8 cm, DM = 6 cm and BC = 6 cm . Find the length of DN

In the given figure, AB and DE are perpendicular to BC. If AB = 6cm, DE = 4cm and AC = 15cm. (iii) Find the ratio of the area of DeltaABC : area of DeltaDEC .

In given figure, if angleA=angleC , AB= 6 cm, BP = 15 cm, AP = 12 cm and CP= 4 cm, then find the lengths of PD and CD.

In the given figure, if DE || BC, AE = 8 cm, EC = 2 cm and BC = 6 cm, then find DE

Construct Delta ABC with AB = 4.5 cm, BC = 7 cm and CA = 6 cm.