In the figure, $CD \parallel AE$ and $CY \parallel BA$.
Name a triangle equal in area of $\triangle CBX$.
"
Given:
$CD \parallel AE$ and $CY \parallel BA$.
To do:
We have to name a triangle equal in area of $\triangle CBX$.
Solution:
$\triangle CBX$ and $\triangle CYX$ are on the same base $BY$ and between same parallels.
Therefore,
$ar(\triangle CBX) = ar(\triangle CYX)$.
The triangle equal in area of triangle $CBX$ is $\triangle CYX$.
- Related Articles
- In the figure, $CD \parallel AE$ and $CY \parallel BA$.Prove that $ar(\triangle ZDE) = ar(\triangle CZA)$."\n
- In the figure, $CD \parallel AE$ and $CY \parallel BA$.Prove that $ar(\triangle CZY) = ar(\triangle EDZ)$."\n
- In the figure, if $AB \parallel CD$ and $CD \parallel EF$, find $\angle ACE$."\n
- In the figure, $AB \parallel CD \parallel EF$ and $GH \parallel KL$. Find $\angle HKL$."\n
- In the figure, the sides $BA$ and $CA$ have been produced such that $BA = AD$ and $CA = AE$. Prove the segment $DE \parallel BC$."\n
- In the figure, $PSDA$ is a parallelogram in which $PQ = QR = RS$ and $AP \parallel BQ \parallel CR$. Prove that $ar(\triangle PQE) = ar(\triangle CFD)$."\n
- In the figure, $AB = AC$ and $CP \parallel BA$ and $AP$ is the bisector of exterior $\angle CAD$ of $\triangle ABC$. Prove that $ABCP$ is a parallelogram."\n
- In the figure, $ABCD$ is a trapezium in which $AB \parallel DC$. Prove that $ar( \triangle AOD = ar(\triangle BOC)$."\n
- In the figure, $AE$ bisects $\angle CAD$ and $\angle B = \angle C$. Prove that $AE \parallel BC$."\n
- In the figure, $AB = AC$ and $CP \parallel BA$ and $AP$ is the bisector of exterior $\angle CAD$ of $\triangle ABC$. Prove that $\angle PAC = \angle BCA$."\n
- In the figure below , Name the parallel lines and the concurrent lines and points of concurrence in the figure."\n
- In a triangle ABC, DE is parallel to BC. If AB = 7.2 cm; AC = 9 cm; and AD = 1.8 cm; Find AE."\n
- In the figure, it is given that $AB = CD$ and $AD = BC$. Prove that $\triangle ADC \cong \triangle CBA$."\n
- In the figure, if $l \parallel m \parallel n$ and $\angle 1 = 60^o$, find $\angle 2$."\n
- In the figure, if $l \parallel m, n \parallel p$ and $\angle 1 = 85^o$, find $\angle 2$."\n
Kickstart Your Career
Get certified by completing the course
Get Started