B Nirmala Shastry Solutions for Exercise 2: EXERCISE 17B

The area of an isosceles trapezium is $80 c{m}^2$. If the parallel sides are $4 cm$ and $16 cm$, find the length of the non-parallel sides.

The diagram represents the cross-sections of a loft $PQRST, PTQ$ is an isosceles triangle and $QRST$ is a rectangle.

The height $PN$ of $P$ above the ground is $7.5 m$. The height $QR$ is $5 m$ and $PQ$ is $6.5 m$. Given that $N$ is the mid-point of $SR$, find the length of $SR$ and the area of $PQRST$.

Find the area and perimeter of a rhombus whose diagonals measure $18 cm$ and $24 cm$.
 

$ABCD$ is a rhombus of side $20 cm$. If $PC=32 cm$, and $AP\perp CD$, find its area,

 If the perimeter of a rhombus is $68 cm$ and one of its diagonals is $30 cm$, find its area.

If the area of a rhombus is $864 c{m}^2$ and one of its diagonals is $48 cm$, find the other diagonal.

In the quadrilateral $ABCD, \angle ACB=90°, AB=20 cm, BC=12 cm, AD=CD=17 cm$. Find  $AC$

In the quadrilateral $ABCD, \angle ACB=90°, AB=20 cm, BC=12 cm, AD=CD=17 cm$. Find  $AC$