When a right angle triangle is rotated about its base the shape generated will be?

cone
Slant height of the cone =√(r2+h2). Complete step by step solution: If we rotate a right triangle about its height, a cone is formed.

What is the base and height of a right triangle?

The base and height of a right triangle are always the sides adjacent to the right angle, and the hypotenuse is the longest side.

How do you find the perpendicular and base of a right angled triangle?

Hypotenuse: It is the side opposite to the right angle of the triangle (or the largest side)….Now, formulas for ratios are as follows:

1. sine or sinθ= Perpendicular/ Hypotenuse= Opposite/Hypotenuse.
2. cosine or cosθ= Base/ Hypotenuse= Adjacent/Hypotenuse.
3. tangent or tanθ= Perpendicular/Base= Opposite/Adjacent.

When we rotate a right triangle about the perpendicular?

If a right angled triangle is rotated about one of its perpendicular sides, then the shape obtained will be a cylinder.

When a right angled triangle is made to revolve on its its perpendicular side the solid formed is a?

Explanation: A right circular cone is a solid generated by the revolution of a right angled triangle about one of its perpendicular sides which is fixed.

What is the base of a right angled triangle?

A right triangle’s base is one of the sides that adjoins the 90-degree angle.

When we rotate a right triangle about the perpendicular line?

What is the base of a right-angled triangle?

How do you find the base of a right-angled triangle?

For example, to find the area of a right triangle with a height of 4 cm and hypotenuse 5 cm, we first find its base using the Pythagoras theorem. Then we get, base = √[(hypotenuse)2 – (height)2] = √(52 – 42) = √9 = 3 cm. Area of the right triangle = 1/2 × 3 × 4 = 6 cm2.

When a right triangle is revolved around one of the perpendicular side solid formed is?

CONE is the solid formed by revolving right angle triangle with one of its perpendicular side fixed.

What is the axis of rotation of a right angled triangle?

Consider a right angled triangle, ABC with AB = 4 cm (vertical), BC = 3 cm (horizontal) and AC = 5cm is the hypotenuse. When the right angled triangle ABC is rotated about its base, CB, you will get a cone whose height is 3 cm and the base (now vertical) has a diameter of 8 cm. The axis of rotation is thus horizontal.

What is the circumference of a cone when a triangle is rotated?

When you rotate a right triangle by its base (b),the new cone that gets created will have the height (h) of the original right triangle as the radius (r) of the new circular base of the cone ,and as you might know the circumference (C) of a circle = 2*pi*r ,or 2*pi*h.

What is the hypotenuse of a right angle triangle?

When a right angle triangle is rotated along its base, keeping the base horizontal, then other side of the right triangle is the vertica base height, and the hypotenuse is the slant height of the right circular cone. How can I identify base and height of right angle triangle?

What is the apex of the right angled triangle ABC?

When the right angled triangle ABC is rotated about its base, CB, you will get a cone whose height is 3 cm and the base (now vertical) has a diameter of 8 cm. The axis of rotation is thus horizontal. The apex of the cone will be C.