Geometry || 19.03.2021

The area of a rhombus is 300 cm². If the length of one of the diagonals of the rhombus is 30 cm, then what is the length in cm of the second diagonal?

The sides of an isosceles triangles are 10 cm, 10 cm and 12 cm. What is the area of the triangle?

If in the following figure (not to the scale), ∠ACB = 135º and the radius of the circle is 2√2 cm, then the length of the chord AB is:

In the following figure (not to scale), at the centre O, if the chord AB subtends double the angle that is subtended by chord CD and the angle ∠AEB = 2∠AOB, then ∠COD is equal to:

In a triangle ABC, ∠A = 76°, ∠B = 52° and AD ⊥ BC. If DC = 6 cm and AC = 16 cm, then the length of AB is

A circle touches the side BC of a ∆ABC at P and also touches AB and AC produced at Q and R, respectively. If the perimeter of ∆ABC = 26.4 cm, then the length of AQ is:

In a triangle ABC, the length of BC is less than twice the length of AB by 3 cm. The length of the AC exceeds the length of AB by 1 cm. The perimeter of the triangle is 34 cm. The length (in cm) of the smallest side of the triangle is:

The chord AB and CD of a circle intersect at E. If AE = 12 cm, BE = 20.25 cm, and CE = 3DE, then the length of CE is:

Which of the following points lies on the line 3x − 4y = −13?