You visited us 1 times! Enjoying our articles? Unlock Full Access!

Triangles between Same Parallels

In this figur...

Question

In this figure AB $∥$ DC. Write two pairs of triangles having the same area.

△ A D B

and

△ A C B

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

△ D C A

and

△ A D B

No worries! We‘ve got your back. Try BYJU‘S free classes today!

△ D C A

and

△ D C B

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

△ A D B

and

△ D C B

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct options are
A $△ A D B$ and $△ A C B$
C $△ D C A$ and $△ D C B$

Area of triangles on the same base and between same parallels are equal.

Hence

$△ A D B$ and $△ A C B$ have equal areas.

$△ D C A$ and $△ D C B$ have equal areas.

Suggest Corrections

Similar questions

Q. In the figure

A B ∥ C D

. Then two triangles with same area are

A B D

and

A B C

In this figure, ABCD is a trapezium in which AB || DC and AB = 3DC. Determine the ratio of the areas of $△$ AOB and $△$ COD.

Q. In the figure,

△ A B C

and

△ A B D

are two triangles on the same base

A B

. If line segment

C D

is bisected by

¯ ¯¯¯¯¯¯ ¯ A B

O

, show that

a r e a (△ A B C) = a r e a (△ A B D)

In the given figure, AB // EF // DC; AB = 67.5 cm, DC = 40.5 cm and AE = 52.5 cm.
(i) Name the three pairs of similar triangles.
(ii) Find the lengths of EC and EF.

Join BYJU'S Learning Program

In this figure AB ∥ DC. Write two pairs of triangles having the same area.

The correct options are A △ADB and △ACB C △DCA and △DCB Area of triangles on the same base and between same parallels are equal. Hence △ADB and △ACB have equal areas. △DCA and △DCB have equal areas.

In this figure AB $∥$ DC. Write two pairs of triangles having the same area.

The correct options are
A $△ A D B$ and $△ A C B$
C $△ D C A$ and $△ D C B$

Area of triangles on the same base and between same parallels are equal.

Hence

$△ A D B$ and $△ A C B$ have equal areas.

$△ D C A$ and $△ D C B$ have equal areas.