What is the formula for circumference of a circle?
2πr
r = radius
Given the lengths of the two legs in a right-angled triangle as 3 units and 4 units, find the area of the triangle.
6 square units
Define Pythagoras' theorem?
In a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
What is a right triangle?
A triangle that has one angle measuring 90 degrees.
How many degrees are there in a triangle?
180 degrees
Find the perimeter of a regular hexagon with each side measuring 3 cm.
15 cm
The diagonals of a rhombus are of different lengths and bisect each other at right angles. True or False?
True
What is the hypotenuse in a right-angled triangle with sides of length 3 cm and 4 cm?
5 cm
What is the term for the longest side of a right triangle, opposite the right angle?
A hypotenuse
How many degrees are in a square?
360 degrees
Find the perimeter of the triangle whose sides are 34 cm, 18 cm and 27 cm.
79 cm
A right-angled triangle has a hypotenuse of 10 units and one leg measuring 6 units. Find the area of the triangle?
24 square units
If the hypotenuse is 13cm long, and one of the sides of the triangle is 5 cm long. Find the length of the second side.
12 cm
What is the term for a polygon with five sides?
A Pentagon
How many degrees are in a perpendicular angle?
90 degrees
The perimeter of a right triangle is equal to 30 cm. The length of one of its sides is 10 cm. Find its hypotenuse.
12.5 cm
Erika wants a new carpet for her rectangular dining room. Her dining room is a rectangle of 5 meters by 7 meters. What will be the area of her carpet that covers her entire dining room?
35 m2
How can you determine if a triangle with side lengths 8, 15, and 17 is a right-angled triangle?
The triangle is a right-angled triangle because 8^2+ 15^2 = 17^2.
What is a cube?
A three-dimensional figure with six square faces.
One angle of a right angled triangle is 41 degree. Find the degree of the remaining angle.
49 degree
A rectangle measures length of 7 cm and width of 3 cm.
If its perimeter is equal to a square, what is the length of one side of the square?
The length of one side of the square = 20/4 = 5
(Perimeter = 20 cm)
If, in a right-angle triangle, the hypotenuse is 20 feet long, and one of the sides is 9 feet longer than the other. Find the area of the triangle.
108 ft2
If the lengths of the two legs of a right-angled triangle are 9x and 12x, what is the length of the hypotenuse in terms of x?
The hypotenuse is 15x units long.
What is the term for a polygon with eight sides?
An Octagon
An angle of a rhombus is 80 degree. What are the degrees of the remaining angles?
80º, 100° and 100°