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In ∆ABC, AD = DB , DE is parallel to BC, and the area of ∆ABC is 20 cm². What is the area of ∆ADE in cm² ?

Find the difference between angle and its complement if the angle is four-fifth of its complement.

Angles of a triangle are in the ratio 2 : 3 : 7. Find the sum of the smallest and largest angle of the triangle.

In the given figure, O is centre of the circle. Circle has 3 tangents. If ∠ QPR = 45 ⁰ , then what is the value (in degrees) of ∠ QOR ?

PQ and PR are the two chords of a circle. The tangents at Q and R meet at A. If ∠QPR = 64°, then the measure of ∠QAR is?

Find the area of triangle having sides 5 m, 6 m, and 9 m.

If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 96 cm² , then the area of ∆EFG is?

In the given figure PQRS is a square and OQR is an equilateral triangle, then find angle POS?

Two angles are complementary. The larger angle is 6° less than thrice the measure of the smaller angle. What is the measure of the larger angle?

The length of the each side of an equilateral triangle is 10.5 cm. The area of incircle, (cm ² ) is