Tamil Nadu Board Solutions for Chapter: Geometry, Exercise 7: Exercise 4.3

Which of the following correctly describes the given triangle? 

Which of the following is not possible?

If one angle of an isosceles triangle is $124°$ and the measure of one of the equal angles is $k°$, then find the value of $k$.

Which of the following can be the sides of an isosceles triangle?

Two sides of the triangle are given in the table. Find the third side of the triangle.

$\begin{array}{|lll|}\hline \mathrm{Side}-1& \mathrm{Side}-2& \mathrm{The} \mathrm{length} \mathrm{of} \mathrm{the} \mathrm{third} \mathrm{side}(\mathrm{any} \mathrm{three} \mathrm{measures})\\ 8 \mathrm{cm}& 8 \mathrm{cm}& \\ \hline\end{array}$

Two sides of the triangle are given in the table. Find the third side of the triangle.

$\begin{array}{|lll|}\hline \mathrm{Side}-1& \mathrm{Side}-2& \mathrm{The} \mathrm{length} \mathrm{of} \mathrm{the} \mathrm{third} \mathrm{side}(\mathrm{any} \mathrm{three} \mathrm{measures})\\ 7.5\mathrm{cm}& 3.5\mathrm{cm}& \\ \hline\end{array}$

Two sides of the triangle are given in the table. Find the third side of the triangle.

$\begin{array}{|lll|}\hline \mathrm{Side}-1& \mathrm{Side}-2& \mathrm{The} \mathrm{length} \mathrm{of} \mathrm{the} \mathrm{third} \mathrm{side} (\mathrm{any} \mathrm{three} \mathrm{measures})\\ 10 \mathrm{cm}& 14 \mathrm{cm}& \\ \hline\end{array}$

Draw a line segment $AB=6.5 \mathrm{cm}$ and mark a point $M$ above it. Through $M$ draw a line parallel to $AB$.