How do you find the missing height of a triangle?

that seems a little to complicated..... :(

If

height = h,
width = w,
hypotenuse = x
area = A
then, using the Pythagorean theorem,
h = (x^2 - w^2)^(0.5)
or, using the triangle area formula,
h = 2A/w

Note: Pythagorean theorem ONLY works with RIGHT-angled triangles (one angle of 90 degrees).

can you explain it to me?

Well, what are you being given to find the height?

it is a right angled triangle :) ( not mad)

19 cm is the base and the trapezoid's height is 10 cm

okay I will try to do it by my self

1 .Recall the formula for the area of a triangle. The formula for the area of a triangle is A=1/2bh. [1]

A = Area of the triangle
b = Length of the base of the triangle
h = Height of the base of the triangle

2.
Look at your triangle and determine which variables you know. You already know the area, so assign that value to A. You should also know the value of one side length; assign that value to "'b'". Any side of a triangle can be the base, regardless of how the triangle is drawn. To visualize this, just imagine rotating the triangle until the known side length is at the bottom.
Example
If you know that the area of a triangle is 20, and one side is 4, then:
A = 20 and b = 4.
3.
Plug your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!
Example
20 = 1/2(4)h Plug the numbers into the equation.
20 = 2h Multiply 4 by 1/2.
10 = h Divide by 2 to find the value for height.

The Pythagorean Theorem is x^2 = h^2 + w^2.

Then, w^2 = x^2 - h^2.
Then, w = square root of (x^2 - h^2)
Note: The hypotenuse is the side facing the 90 degree angle.

so how do i figure it out?

None of this works for trapezoids though, unless you are being instructed to find the height of a triangle cut out of a trapezoid.

yes that's it! :)

Just take the square root (to the .5 power) of the difference of the hypotenuse squared minus the base of the triangle or width squared.

what? That does not make sense. is there another way you can explain it to me?

A = area

a1 = base one
a2 = base two
h = height
The area formula for a trapezoid is
A = h*(a1+a2)/2,
which means that
h = 2A/(a1+a2)

Those are all the formulas related. I don't think I can give you any more, only try to help you understand.

I'm confused... How do I find the height? (in a simple way can you explain it to me?)

It is better to just read your math lesson and just solve your problem using the formula. Trust me.

height is h, as I explained. I gave the formulas for (right-angled and not right-angles) triangles and trapezoids.

Also thanks for the advice on herbivores, but plants are considered as alive, like you and me in sciences.

oh well you are welcome and that is what I thought so I put it up there and It just makes sense to me that they are not living creatures

What is going on here?

Kaitlyn, you don't need to go through this. Just search Pythagorean Theorem in Math Is Fun.

okay i will

Wow, very long thread tho.

but i went there and it really didn't help plus I'm dealing with a triangle and rectangle ( sorry I didn't check before)

Well, that's all I can help you with. Consult others.

okay bye :(

I figured it out but thanks

Remember everybody The formula for this is the height times the base, Divide by two and that will equal the area. You are welcome...Everybody sorry I couldn't help sooner, I was busy with a dentist appointment.

wow! thanks everybody for the help. So many people helped me! thank you guys so much!

Glad to Kaitlyn.

Your posts are confusing. First you say it is a right-angled triangle then a trapezoid. Also, the area of the base of a trapezoid is expressed in terms of cm^2 not cm.

Area of triangle = 1/2bh

Do you already have the area and base values?