How do you find the height of a triangle with the hypotenuse and base?

How do you find the height of a triangle with the hypotenuse and base?

The Pythagorean Theorem states that for any right triangle with sides of length a and b, and hypotenuse of length c: a2 + b2 = c2. We can use this theorem to find the height of our equilateral triangle!

Is hypotenuse the height of a 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 height of the hypotenuse?

How do you find the altitude of a hypotenuse?

  1. Draw the altitude of the hypotenuse on the triangle.
  2. Divide the length of the shortest side of the main triangle by the hypotenuse of the main triangle.
  3. Multiply the result by the length of the remaining side to get the length of the altitude.
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How do you find the altitude of the hypotenuse?

Draw the altitude of the hypotenuse on the triangle. The two new triangles you have created are similar to each other and the main triangle. Divide the length of the shortest side of the main triangle by the hypotenuse of the main triangle. Multiply the result by the length of the remaining side to get the length of the altitude.

How do you find the hypotenuse of a triangle with one leg?

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 do you find the height of a right triangle?

The basic equation is a transformed version of a standard triangle height formula (a * h / 2). Because the right triangle legs are perpendicular to each other, one leg is taken as a base and the other is a right triangle height: area = a * b / 2.

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What is Triangle area calculator?

Triangle area calculator – step by step calculation, formula & solved example problem to find the area for the given values of base b, & height h of triangle in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm).