# How do you find the area of a triangle when given the hypotenuse and perimeter?

## How do you find the area of a triangle when given the hypotenuse and perimeter?

Explanation: The area of a triangle is denoted by the equation 1/2 b x h. b stands for the length of the base, and h stands for the height. Here we are told that the perimeter (total length of all three sides) is 12, and the hypotenuse (the side that is neither the height nor the base) is 5 units long.

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

Perimeter of a Triangle

1. In the given triangle, a, b and c are the sides of the triangle. Perimeter of a triangle.
2. Perimeter of triangle = a + b + c.
3. Here, sides of the triangle are AB = 3 cm, BC = 4 cm and AC = 3 cm.
4. Perimeter of an isosceles triangle = a + b + c.
5. Perimeter of an equilateral triangle = a + b + c.

How do you find the sides of a triangle with only the hypotenuse?

How do you solve a right angle triangle with only one side?

1. If you have the hypotenuse, multiply it by sin(θ) to get the length of the side opposite to the angle.
2. Alternatively, multiply the hypotenuse by cos(θ) to get the side adjacent to the angle.

How do I find the sides of a right triangle?

Key Takeaways

1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
2. In a right triangle, one of the angles has a value of 90 degrees.
3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

## How do you use Pythagorean theorem when two sides are missing?

The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two. The figure shows two right triangles that are each missing one side’s measure.

### How to calculate the hypotenuse of a right triangle?

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²) Given angle and one leg. c = a / sin(α) = b / sin(β), from the law of sines. Given area and one leg.

How is the hypotenuse used to find another side?

Using the hypotenuse to find another side Pythagoras’ theorem can also be used to find the length of another side of a triangle using the hypotenuse. The square on the hypotenuse subtracted by the square on another side is equal to the square on the remaining side.

Can you find another side of a triangle using Pythagoras theorem?

Pythagoras’ theorem can also be used to find the length of another side of a triangle using the hypotenuse. The square on the hypotenuse subtracted by the square on another side is equal to the square on the remaining side.

## Which is the longest side of a triangle?

What is the hypotenuse of a triangle 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.