Triangles
Calculate the area of a triangle with height 6cm and base 10cm.
Ans. 30cm2
The hypotenuse is the longest side of a triangle.
Ans. True
If the diameter of a circle is 18cm, find its radius.
Ans. 9cm
The longest chord of a circle is an arc.
Ans. False, its is the diameter
If two sides of a triangle are 6cm and 8cm respectively, calculate the third side.
Ans. 10cm
The area of an equilateral triangle is 1/2 base * height.
Ans. True (Though more specially, it is √3/4 a2, 1/2 base * height is applicable to all kinds of triangles.)
Find the circumference of a circle with diameter 49cm.
Ans. 154cm
Pi is a rational number.
Ans. False- Pi is irrational
If the sides of a triangle are a, 5a, and 7a/2, and its semi-perimeter is 9.5cm, find a.
Ans. a = 2
A triangle with sides, 3cm, 7cm, and 4cm can exist.
Ans. False (The longest side should be less than the sum of the other two sides)
Find the area of a circle with circumference 14 π.
Ans. 154 cm2
The perimeter of a semi circle is half the circumference of a full circle + two times its radius
Ans. True
Find the area of a triangle with sides 9cm, 41cm having a semi-perimeter of 45cm.
Ans. 180cm2
A triangle with sides 13, 85 and 86 has one of its angles as 90 degrees.
Ans. False (Sides 13,84,85)
Calculate the work done in displacing an object of mass 2kg from the center of the Earth to the surface, if the circumference of the Earth is 40040km, and gravity = 10m/s2.
Formula for work = Mass * Height(Radius) * Gravity
Hint: Calculate the radius of the Earth and just plug in the other values in the formula.
Ans. 127400 Kilojoules
If the area of an equilateral triangle is 16√ 3 cm2, find its side and all it's angles respectively.
Ans. Side = 8, angles = 60 degrees
A box has potato chips stacked up on top of each other. Each chip has a radius of 3.5cm. There were 20 chips in totalAssuming the chips take up all the space in the box, and the thickness of the box is negligible, calculate the volume of the box.
Ans. 770 cm2