Question

In the figure & AX = 2BX and cx = 2xD
Prove that
i) triangle AXC and triangle BXD are similar
ii) AC||DB​

Answer 1

7th

Maths

Congruence of Triangles

Criteria for Triangle Congruence

In the adjoining figure, X ...

MATHS

In the adjoining figure, X and Y are respectively two points on equal sides AB and AC of △ABC such that AX=AY. Prove that CX=BY.

1715992

MEDIUM

Share

Study later

ANSWER

It is given that AX=AY

Considering △AXC and △AYB

∠A is common i.e. ∠A=∠A

We know that the sides of the equilateral triangle are equal so we get

AC=AB

By SAS congruence criterion

△AXC≅△AY

BXC=YB(c.p.c.t)

Therefore, it is proved that CX=BY.

Answer 2

HOPE IT HELPS :)

HOPE IT HELPS :)