# Solution - Criteria for Similarity of Triangles

Account
Register

Share

Books Shortlist
Your shortlist is empty
ConceptCriteria for Similarity of Triangles

#### Question

CD and GH are respectively the bisectors of ∠ACB and ∠EGF such that D and H lie on sides AB and FE of ΔABC and ΔEFG respectively. If ΔABC ~ ΔFEG, Show that

(i) (CD)/(GH) = (AC)/(FG)

(ii) ΔDCB ~ ΔHGE

(iii) ΔDCA ~ ΔHGF

#### Solution

You need to to view the solution
Is there an error in this question or solution?

#### Similar questions VIEW ALL

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles, show that (AO)/(OC) = (OB)/(OD)

view solution

In the following figure, ABC and AMP are two right triangles, right angled at B and M respectively, prove that:

ΔABC ~ ΔAMP

 (CA)/(PA) = (BC)/(MP)

view solution

E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that ΔABE ∼ ΔCFB

view solution

D is a point on the side BC of ∆ABC such that ∠ADC = ∠BAC. Prove that  \frac{CA}{CD}=\frac{CB}{CA} or, CA^2 = CB × CD.

view solution

In the following figure, (QR)/(QS) = (QT)/(PR)  and ∠1 = ∠2. Show that ΔPQS ~ ΔTQR.

view solution

#### Reference Material

Solution for concept: Criteria for Similarity of Triangles. For the course 8th-10th CBSE
S