Tag: maths

Given that a right angled trapezium has an inscribed circle. then " the length of the right angled leg is the Harmonic mean of the lengths of bases. "that  statement is __

$ABCD$ is a trapezium with side $BC$  parallel to $AD$ . If E is midpoint of $AB$ and the line through E parallel to $DC$ meets $AD$ and $BC$ at $X$ and $Y$ respectively . these this relation is  $\left[ {ABCD} \right] = \left[ {XYCD} \right]$ . is ?

If $ABCD$ is a trapezium such that $AB\parallel CD$. Also $CD\bot BC$. If $\angle ADB=\theta, BC=p, CD=q$ then $AB$=?

In the case of trapezium, the ratio of its angles taken in order cannot be 

$ABCD$ is a trapezium in which $AB\parallel CD$. Which of the following is equal to $AC^{2}+BD{2}$?

In trapezium PQRS, PQ($23$cm) and RS($13$ cm) are the bases. Find the area of the trapezium if the diagonals bisect angles SPQ and PQR.

$ABCD$ is a trapezium in which $BC \parallel AD, BC=20\ cm$ and $AD=45\ cm$. If $P$ and $Q$ are the midpoints of $AB$ and $CD$ respectively, then the ratio of $ar(\Box PBCQ)$ to $ar(\triangle PQD)$ is

In trapezium $PQRS$, side $PQ\parallel SR$. Diagonals $PR$ and $QS$ intersect each other at point $M$.  $PM=3RM$ 

The area of a trapezium is  $385 { cm } ^ { 2 } .$  Its parallel sides are in the ratio  $3 : 4$  and the perpendicular distance between them is  $11 { cm } .$  Its longer side is

In a trapezium, the lengths of its parallel sides are $a$ and $b$. The length of the line joining the midpoints of its non-parallel sides is :