R K Bansal Solutions for Exercise 2: CHAPTERWISE REVISION

In the given figure $AB=AC, \angle A = \angle D = 90°, BD= 10 cm and DC = 24 cm,$Calculate the length of AB correct to two place decimal. Also , find the perimeter of quadrilateral $ABCD$

The following figure shows a triangle $ABC$ in which $AD$ is a median and $AE\perp BC$ . Prove that : $2A{B}^2+2A{C}^2=4A{D}^2+B{C}^2$

In a right angled triangle, five times the square on the hypotenuse is equal to four times the sum of the squares on the medians drawn from the acute angle. Prove it.

In a parallelogram $ABCD, AB=\left(3x-4\right) \mathrm{cm}, BC=\left(y-1\right) \mathrm{cm}, CD=\left(y+5\right) \mathrm{cm}$ and $AD=\left(2x+5\right) \mathrm{cm}$, find the ratio $AB:BC$. Find the values of $x$ and $y$.

Alternate sides of a hexagon are produced to meet so as to form a star-shaped figure. Show that the sum of the angles at vertices of the star is equal to four-right angles.

In an octagon, four of the angles are equal and each other angle is $20°$ more than each of the first four. Find the angles of the octagon.

Construct quadrilateral $ABCD$ in which $BC=5 \mathrm{cm}, \angle ABC=60°, AB-AC=1.5 \mathrm{cm}$ and $△ADC$ is equilateral.

Construct a quadrilateral $ABCD$ in which $AB=4.5 \mathrm{cm}, BC=3.8 \mathrm{cm}, \angle BCD=90°, \angle BAD=60°$ and $\angle ABC=120°$.