how do i find the height of a triangle
the base is 18 inches, the angled side is 82 inches and it is a right triangle
1/2 bh
i don't have the height would i use 82 the slanted side
no
height is measured as a perpendicular, not as a "slanted" height.
So use Pythagoras to find the height h
h^2 + 18^2 = 82^2
solve for h, then use bh/2
(you should get 720)
both sides are "slanted" and i need the height explain in a way an 8th grader would understand please
To find the height of a right triangle, you can use the Pythagorean theorem. The theorem states that, in a right triangle, the square of the length of the hypotenuse (the angled side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 82 inches and one of the other sides (the base) is 18 inches.
To find the height, follow these steps:
1. Write down the given information: a = 18 inches (base), c = 82 inches (hypotenuse).
2. Assign a variable to the unknown side, which in this case is the height, so let's call it h inches.
3. Apply the Pythagorean theorem: a² + b² = c²
Substitute the values: 18² + h² = 82²
Simplify: 324 + h² = 6724
4. Move the constant term to the other side of the equation by subtracting 324 from both sides: h² = 6724 - 324 = 6400
5. Take the square root of both sides of the equation to solve for h: √(h²) = √(6400), which simplifies to h = 80 inches.
Therefore, the height of the right triangle is 80 inches.