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.