Saket Sharma Solutions for Exercise 1: Exercise 1

If the area of a trapezium is $250$ sq.m and the lengths of the two parallel sides are $15$ m and $10$ m respectively then the distance between the parallel sides of the trapezium is

In $△\mathrm{ABC}$ , $\mathrm{AB} = 5 \mathrm{cm}, \mathrm{AC} = 7 \mathrm{cm}.$ If $\mathrm{AD}$ is the angle bisector of $\angle \mathrm{A}$ , then $\mathrm{BD} : \mathrm{CD}$is equal to________?

Consider the following statements-
I. Congruent triangles are similar
II. Similar triangles are congruent.
III. If the hypotenuse and a side of one right triangle are equal to the hypotenuse and a side of another right triangle respectively, then the two right triangles are congruent.

Which of the statements given above is/are correct?

Two equal maximum sized circular plates are cut off from a circular paper sheet of circumference $352$ cm. Then the circumference of each circular plate is -

If $∆\mathrm{ABC}$ is a right-angled triangle at $B$, and $M$, $N$ are midpoints of $AB$ and $BC$ respectively, then what is $4(A{N}^2 +C{M}^2)$ equal to?

In a circle of radius $17 cm$, two parallel chords are drawn on opposite side of a diameter, the distance between the chords is $23 cm$. If the length of one chord is $16 cm$, then the length of the other is

The side $AB$ of a parallelogram $ABCD$ is produced to $E$ in such a way that $BE = AB$, $DE$ intersects $BC$ at $Q$. The point $Q$ divides $BC$ in the ratio _____.

$A,B,C,D$ are four points on a circle. $AC \& BD$ intersect at a point  $E$ such that $\angle BEC=130°\& \angle ECD=20°$ then find$\angle BAC ?$