# How do you find the area of a triangle given its coordinates?

## How do you find the area of a triangle given its coordinates?

The formula of area of triangle formula in coordinate geometry the area of triangle in coordinate geometry is: A = (1/2) |x1 1 (y2 2 − y3 3 ) + x2 2 (y3 3 − y1 1 ) + x3 3 (y1 1 − y2 2 )|, where (x1 1 ,y1 1 ),(x2 2 ,y2 2 ), and (x3 3 ,y3 3 ) are the coordinates of vertices of triangle.

## What is my hypotenuse?

A hypotenuse is the longest side of a right triangle. It’s the side that is opposite to the right angle (90°). Hypotenuse length may be found, for example, from the Pythagorean theorem.

How do you calculate the area of a triangle?

Find the length of two adjacent sides and the included angle. Adjacent sides are two sides of a triangle that meet at a vertex.

• Set up the trigonometry formula for the area of a triangle.
• Plug the side lengths into the formula. Multiply their values,then divide by 2.
• Plug the sine of the angle into the formula.
• Multiply the two values.
• How do you find the area of triangle with vertices?

The area of the triangle obtained by joining these points is given by, Where α α denotes the area of the triangle and (x1,y1),(x2,y2) and (x3,y3) ( x 1, y 1), ( x 2, y 2) a n d ( x 3, y 3) , represent the vertices of the triangle. The formula for finding area could be represented in the form of determinants as given below.

### How do you find the perimeter of a triangle?

Remember what a right triangle is. A right triangle is a triangle that has one right (90 degree) angle.

• Recall the Pythagorean Theorem. The Pythagorean Theorem tells us that for any right triangle with sides of length a and b,and hypotenuse of length c,a2+b2
• Look at your triangle,and label the sides “a,” “b,” and “c”.
• ### How do you calculate right angle triangle?

b = √ (c² – a²) for hypotenuse c missing, the formula is. c = √ (a² + b²) Given angle and hypotenuse. Apply the law of sines or trigonometry to find the right triangle side lengths: a = c * sin (α) or a = c * cos (β) b = c * sin (β) or b = c * cos (α) Given angle and one leg.