What is the relationship between the area of the triangle and its sides?

That is to say, the area of a triangle is half the product of two sides times the sine of the included angle.

What is the mathematical expression of area of a triangle?

The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

What is the relation between area of triangle and area of circle?

Take the square root of each side of the equation. This will give you the length of the radius of a circle with an area equal to that of the triangle. So, the area of a circle with a radius of about 4 cm is equal to the area of a triangle with a base of 5 cm and a height of 20 cm.

Are the sides of a triangle equal?

An isosceles triangle therefore has both two equal sides and two equal angles. A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

What is the relationship between 3 sides of a triangle?

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle. Triangle Inequality: In any triangle, the sum of the lengths of any two sides is greater than the length of the third side.

What is the relationship between sides and angles in a triangle?

Relation between sides and angles in a triangle. Theorem In a triangle, the longest side is opposite the largest angle. The largest angle lies opposite the longest side, the mid-sized angle lies opposite the mid-sized side, the smallest angle lies opposite the shortest side. Consider triangle ABC.

How do you find the area of a triangle with sides?

So if we have a triangle with sides 3, 4, and 5 inches, the area would be 6 square inches (since it’s a right triangle). So, you multiply it out: abc is 3″ times 4″ times 5″ or 60 cubic inches. Divide 60 cubic inches by 4 to get 15 cubic inches. Divide 15 cubic inches by 6 square inches (the area) to get 2.5 inches!

Which sides of a triangle are always opposite each other?

In any triangle: 1 The shortest side is always opposite the smallest interior angle. 2 The longest side is always opposite the largest interior angle.

What is the midsize side of an equilateral triangle?

If the smallest side is opposite the smallest angle, and the longest is opposite the largest angle, then it follows that since a triangle only has three sides, the midsize side is opposite the midsize angle. An equilateral triangle has all sides equal in length and all interior angles equal.