D and E are respectively the midpoints on the sides AB and AC of a triangle ABC and BC = 6 cm. If DE || BC, then the length of DE (in cm) is

In triangle PQR, if PQ = 6 cm, PR = 8 cm, QS = 3 cm, and PS is the bisector of angle QPR, what is the length of SR?

The lengths of the diagonals of a rhombus are 16 cm and 12cm. Then, the length of the side of the rhombus is

A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.

Diagonals of a trapezium PQRS intersect each other at the point O, PQ || RS and PQ = 3 RS, Then the ratio of areas of triangles POQ and ROS is:

ABCD is a trapezium in which AB|| DC and P, Q are points on ADand BC respectively such that PQ || DC. If PD = 18 cm, BQ = 35 cm andQC = 15 cm, find AD.

In the figure if ∠ACB = ∠CDA, AC = 8 cm and AD = 3 cm, find BD.

If ABCD is parallelogram, P is a point on side BC and DP when produced meets AB produced at L, then select the correct option

In the figure given below DE || BC. If AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, the value of x is:

The length of altitude of an equilateral triangle of side 8cm is

If ΔABC ~ ΔDEF, AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, find the perimeter of ABC.

A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then the distance by which the top of the ladder would slide upwards on the wall is:

ABCD is a parallelogram with diagonal AC If a line XY is drawn such that XY ∥ AB. ABCD is a parallelogram with diagonal AC If a line XY is drawn such that XY ∥ AB.

BX/XC=?

△ ABC is an acute angled triangle. DE is drawn parallel to BC as shown. Which of the following are always true? △ ABC is an acute angled triangle. DE is drawn parallel to BC as shown. Which of the following are always true?

i) △ ABC ∼ △ ADE

ii) AD/BD= AE/EC

iii) DE= BC/2

If in △ CAB and △ FED, AB/ EF=BC/FD=AC/ED, then:

A tower of height 24m casts a shadow 50m and at the same time, a girl of height 1.8m casts a shadow. Find the length of the shadow of girl.

In the adjoining figure, if BC = a, AC = b, AB = c and ∠CAB = 120°, then the correct relation is-

If the distance between the top of two trees 20 m and 28 m tall is 17 m, then the horizontal distance between the trees is :

In the figure △ABC is a right angled triangle with right angle at B. BD is perpendicular to AC. Then which of the following options will hold true?

(sin30° + cos30°) – (sin 60° + cos60°)

If sin A + sin² A = 1, then cos² A + cos⁴ A = ?

If p cotθ =√(q² - p²)

then the value of sinθ is ___.

(cos A / cot A) + sin A= ____________

If tanθ= (x sinϕ) / (1−xcosϕ) and, tan ϕ = (y sin θ)/ (1−y cos θ) then x/y =