Triangles Quiz 5

In ΔABC, D and E are midpoints of AB and AC then DE : BC

$\triangle ABC \sim \triangle DEF$ and perimeters of $\triangle ABC$ and $\triangle DEF$ are 30 cm and 18 cm respectively. If BC = 9 cm, then EF =………

According Baudhayan theorem $AC^2$ =..........

ABC is a right triangle and right angled at C. If p is the length of perpendicular from C to AB with AB = c, BC = a, AC = b, then ………

The diagonals of a trapezium ABCD with AB || DC, intersect each other at the point O. If AB = 2 CD, then the ratio of areas of triangles AOB and  COD is

AB, CD, PQ are perpendicular to BD. If AB = x, CD = y and PQ = z, then $\frac{1}{z} =$ 

In the given fighre if LM || AB, AL = x – 3, AC = 2x,BM = x – 2 and BC = 2x + 3. Then the value of x is …………

The diagonals of a quadrilateral ABCD intersect each other at a point O such that $\frac{AO}{BO} = \frac{CO}{DO}.$ Then the quadrilateral ABCD is ……………

In the given figure, if AB || CD || EF given that AB = 7.5 cm, DC = y cm, EF = 4.5 cm, CF = 3 cm BC = x cm, then the value of x is ………

If BL and CM are the medians of a triangle ABC right angled at A, then the value of $4(BL^2 + CM^2) =$