R S Aggarwal Solutions for Chapter: Constructions, Exercise 4: TEST PAPER-17

The sum of any two sides of a triangle is always _____ than the third side. (greater/smaller)

In $∆ABC,$ if $\angle A=90°$ and $B{C}^2=$$A{B}^2+A{C}^k$, then the value of $k=$ _____.

In a $△\mathrm{ABC}, \mathrm{AB}=\mathrm{AC} \text{and} \mathrm{AD}\perp \mathrm{BC},\text{ then} \mathrm{BD}=$ _____ $\left(\mathrm{AB},\mathrm{AC},\mathrm{CD},\mathrm{AD}\right)$.

In the given figure, side $BC$ of $△ABC$ is produced to $D$ and $CE\parallel BA$. If $\angle BAC=50°$, then $\angle ACE=$ _____

If two parallel lines are cut by a transversal, then the alternate interior angles are equal.

If two lines intersect each other, then the vertically opposite angles are equal.

Each acute angle of an isosceles right triangle measures $60°$.
 

A right triangle cannot have an obtuse angle.