The altitude of an equilateral triangle is 6√3 cm. Find the area of the equilateral triangle.
Let each side of the equilateral triangle be ‘a’ cm Therefore, (a2 – a2/4) = (6√3)2 Or, 3a2/4 = 108 Or, a2 = 144 Or, a = 12 cm Therefore, area of the equilateral triangle = √3a2/4 Or, area of the equilateral triangle = (√3 × 144)/4 = 36√3 cm2
In a circle, two chords of lengths p and q subtend the angles of 60° and 90° at the center respectively. Which of the following is correct in this sce...
At the centre of a circle of 20 cm radius, the angle made by an arc of 24(4/9) cm length is
The sides of a triangle are 24 cm, 26 cm and 10 cm. At each of its vertices, circles of radius 4.2 cm are drawn. What is the area (in cm²) of the t...
If O is circumcentre of acute angled triangle ABC, if ∠ BOC = 150˚ then ∠ BAC = ?
In the given figure, PQR is a triangle and quadrilateral ABCD is inscribed in it. QD = 2 cm, QC = 5 cm, CR = 3 cm. BR = 4 cm. PB = 6 cm. PA = 5 cm and A...
If the ratio of side of a ∆ is 3:4:5, and a ┴ from opposite vertex drawn to the biggest sides at D, if the length of biggest side is 10 then find ra...
The lengths of three medians in a triangles are 21 cm, 28 cm, 35 cm. What is the area of that traingle (in cm 2 )?
The diagonals of a rectangle are inclined to one side of the rectangle at 25°. The acute angle formed between the diagonals is:
If the curved surface area of a cylinder is 126π cm² and its height is 14 cm. then, what is the volume of the cylinder?
A meter-long pipe is made whose internal diameter is equal to the outer radius. How much material (cubic units) will be required to make the pipe if it ...
