Brijesh Dwevedi and Jitendra Gupta Solutions for Chapter: Triangles, Exercise 3: Exam Practice

Kavita is a good and intelligent students in her class. She always applying mathematics in daily life. She asked her classmate. Anjali to make a triangle as shown by choosing one of the vertex as common.

Anjali tried to solved the problem, but she do not correctly solve. But after sometimes, Kavita gives some hints to Anjali, about the congruency of triangle. Now, Anjali fixed vertex $P$ as common vertex and locate points $S$ and $T$ such thii $QP=PS$ and $RP=PT$.

Is it true that $\angle R=\angle T$ and $\angle Q=\angle S$?

Kavita is a good and intelligent students in her class. She always applying mathematics in daily life. She asked her classmate. Anjali to make a triangle as shown by choosing one of the vertex as common.

Anjali tried to solved the problem, but she do not correctly solve. But after sometimes, Kavita gives some hints to Anjali, about the congruency of triangle. Now, Anjali fixed vertex $P$ as common vertex and locate points $S$ and $T$ such thii $QP=PS$ and $RP=PT$.

Whether area of $∆PQR$ and $∆PTS$ is equal.

Rajeev and Amit sit together at $B$. Their work places are at $A$ and $C$ respectively such that $A, B$ and $C$ form a triangle. $BD$ is the bisector of $\angle ABC$, meets $AC$ at right angle. Various distances are expressed in terms of $x$ and $y$ as shown in the figure.

They used bicycles instead of bikes to go to their work places.

Find the distance between $A$ and $C$.

Pavan is studying in IX standard. His father purchase a squared shape plot (shown in figure).

After visiting the land, few questions came in his mind, give answers to his questions by looking at the figure.

Measure of $\angle AOB$ is

Pavan is studying in IX standard. His father purchase a squared shape plot (shown in figure).

After visiting the land, few questions came in his mind, give answers to his questions by looking at the figure.

If $OA=3 \mathrm{cm}$, then value of $OC$ is

Pavan is studying in IX standard. His father purchase a squared shape plot (shown in figure).

After visiting the land, few questions came in his mind, give answers to his questions by looking at the figure.

Which is the correct congruence rule applicable to prove $∆ABO\cong ∆ADO$?

Pavan is studying in IX standard. His father purchase a squared shape plot (shown in figure).

After visiting the land, few questions came in his mind, give answers to his questions by looking at the figure.

If $OB=5 \mathrm{cm}$, then value of $BD$ is

Pavan is studying in IX standard. His father purchase a squared shape plot (shown in figure).

After visiting the land, few questions came in his mind, give answers to his questions by looking at the figure.

Which is the correct congruence rule applicable to prove $∆ABC\cong ∆BAD$?