Question
A triangle XYZ is drawn inside a
circle with a radius of 8 cm, such that its vertices lie on the circumference of the circle. Given that ∠XYZ = ∠YZX = ∠ZXY, find the perimeter of triangle XYZ.Solution
ATQ,
Since ∠XYZ = ∠YZX = ∠ZXY, triangle XYZ is an equilateral triangle. The formula for the side length 'a' of an equilateral triangle with circumradius 'R' cm is:
Find the surface area of the smallest cube that can perfectly fit a sphere of volume 47916Ï€ cm3 inside it. Â
In the election, 8% of the voters did not cast their votes. Two candidates contested the election in which the winning cadidate got 48% of the total vo...
- A metal cylinder has a curved surface area of 528 cm² and its height is 12 cm. What is the diameter of the cylinder?
The circumference of the two circles is 198 cm and 352 cm respectively. What is the difference between their radii?
A circular garden has an inner radius of 21 metres. A path of width 14 metres surrounds the garden. Find the cost of paving the path at the rate of Rs....
There's a cone of height 12cm out of which a smaller cone with the same vertex and vertical axis is cut out. What is the ratio of the volume of the larg...
The average height of two men P and Q is 167 cm. Another man R Joins them and the average height of P, Q and R becomes 162 cm. If another man S whose h...
What will be the volume of a cuboid if its length is 17.5 cm, width is 10 cm, and height is 20 cm?
If a triangle with base 6 cm has the same area as a circle with radius 6 cm, then the corresponding altitude (in cm) of the triangle is:Â
On a rectangular wall of length 24 metres and height 19 metres, there is a window in the shape of triangle surmounted on a square. If the base of triang...
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