Mahabir Singh Solutions for Chapter: The Triangle and its Properties, Exercise 3: Exercise

State ‘ $T$’ for true and ‘ $F$’ for false.
(i) In the given right-angled triangle $ABC$, $\angle B={65}^o$, $\angle C={35}^o$, then $A{B}^2=B{C}^2+C{A}^2.$
(ii) The length of the third side of a triangle cannot be smaller than the difference of the lengths of the other two sides.
(iii) A triangle can have only one median.

Which of the following statements is TRUE?

Statement $–1$ : The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Statement $–\mathit{}2$ : If $P$ is a point on the side $BC$ of $ABC$. Then $(AB+BC+AC)>2AP$.

Find the values of $x$ and $y$ respectively.