Home
Class 10
MATHS
In Delta ABC, ray BD bisects angleABC. A...

In `Delta ABC`, ray BD bisects `angleABC`. A-D-C, side DE`abs()`side BC, A-E-B, then prove that `(AB)/(BC) = (AE)/(EB)`.

Text Solution

Verified by Experts

The correct Answer is:
`therefore " " (AB)/(BC) = (AE)/(EB)`
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    TARGET PUBLICATION|Exercise Try this|1 Videos

  • SIMILARITY

    TARGET PUBLICATION|Exercise Practice Set 1.1|8 Videos

  • SIMILARITY

    TARGET PUBLICATION|Exercise Chapter Assessment|19 Videos

  • QUESTION FROM STD. IX

    TARGET PUBLICATION|Exercise Statistics|14 Videos

  • STATISTICS

    TARGET PUBLICATION|Exercise Problem Set-6|21 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC , ray BD bisects /_ABC . A-D-C , side DE|| side BC , A-E-B . Prove that, (AB)/(BC)=(AE)/(EB) . Complete the activity by filling the boxes. In DeltaABC , ray BD is the bisector of /_ABC :.(AB)/(BC)=square ....... (I) (By angle bisector theorem) In DeltaABC , seg DE|| side BC :.(AE)/(EB)=(AD)/(DC) ........ (II) square :.(AB)/(square)=(square)/(EB) .......[From (I) and (II) ]

In DeltaABC ,ray BD bisects angleABC and ray CE bisects angleACB . If seg AB cong seg AC, then prove that ED abs() BC.

Delta ABC=Delta DEF, Prove that (AB)/(DE)=(AB+BC+AC)/(DE+EF+DF)

In a triangle ABC, D is midpoint of side BC. If ACgtAB and AE_|_BC , then prove that AB^(2)=AD^(2)-BC.ED+(1)/(4)BC^(2)

In ABC, ray AD bisects /_A and intersects BC in D. If BC=a,AC=b and AB=c prove that BD=(ac)/(b+c)( ii) (ab)/(b+c)

If a line intersects sides AB and AC of a Delta ABC at D and E respectively and is parallel to BC, prove that (AD)/(AB)=(AE)/(AC)

In Delta ABC , D and E are two points on the sides AB and AC respectively so that DE || BC and (AD)/(BD) = (2)/(3) . Then ("the area of trapezium DECB")/("the area of " Delta ABC "equa to")

In DeltaABC , D is the midpoint of side AB. Line DE|| side BC. A-E-C . Prove that pont E is the midpoint of side AC.

In rectangle ABCD, E is the midpoint of side BC. Prove that, AE = DE.