Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

ICSE Class 10 Answered

In triangle ABC, angle ABC is equal to twice the angle ACB, and bisector of angle ABC meets the opposite side at point P. Show that: ¡) CB:BA=CP:PA ii) AB*BC=BP*CA
Asked by dibyamrao000 | 11 May, 2018, 08:18: PM
answered-by-expert Expert Answer
According to the question,
angle ABC = 2 angle ACB
Let angle ACB = y
angle ABC =  2 angle ACB = 2y
BP is bisector of angle ABC
angle ABP = angle PBC = y
Using angle bisector thereom
AB/BC = CP/PA
In ΔABC and ΔAPB,
angle ABC = angle APB          exterior angle property
angle BCP = angle ABP
ΔABC ≈ ΔAPB                       AA 
AB/BP = CA/CB
AB × BC = AC × BP
 
Answered by Sneha shidid | 15 May, 2018, 11:14: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
ICSE 10 - Maths
math
question image
Asked by asishavi007 | 15 Sep, 2020, 04:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
in triangle abc, AB=8 cm, AC= 10 cm and angle B is 90 degree. P and Q are points on the sides AB and AC respectively such that PQ = 2 cm and angle PQA is 90 degree. Find area of apq
Asked by ahaana10065 | 28 Jul, 2020, 11:15: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
A metal beam, AB is 6 metres long. It is hinged at the top , P, of a vertical post 1 metre high. When B touched the ground as shown in figure 1. When A comes down to the ground , B rises , as shown in the figure 2. By calculating the length of AP, or otherwise , find the height of B above the ground. 
Asked by saniyasadaf2008 | 30 May, 2020, 04:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Altitudes BN and CM of triangle ABC meet at age prove that  CN.HM=BM.HN HC/HB =√[(CN.HN)/BM.HM]
question image
Asked by moharchat8 | 07 Mar, 2020, 09:10: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
In the given figure,PQ || RS || TU,PQ=5cm,TU=7.5cm,RU=a and RS=b T.P:incrementUTR ~incrementPQR and then solve for a and b
question image
Asked by hrmeenal24 | 14 Feb, 2020, 06:50: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
What is the length of an altitude of an equilateral triangle with side a.
Asked by latapranav | 22 Oct, 2019, 01:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Prove that the ratio of perimeter of two similar triangles is proportional to the ratios of  corresponding sides of the triangles
Asked by jyotisethia97 | 17 Sep, 2018, 02:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
In triangle ABC, angle ABC is equal to twice the angle ACB, and bisector of angle ABC meets the opposite side at point P. Show that: ¡) CB:BA=CP:PA ii) AB*BC=BP*CA
Asked by dibyamrao000 | 11 May, 2018, 08:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Prove.
question image
Asked by Adrija | 24 Mar, 2018, 11:07: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Plz solve the sum
question image
Asked by lovemaan5500 | 14 Jan, 2018, 01:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×