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Let the angle = θ

Let the height = a

Let the base = b

* means multiplied by

If the angle touches the base:

tanθ = a/b

b = a/tanθ

If the angle touches the height:

tanθ = b/a

b = a*tanθ

When transferring the second line of working (b= ...) into a calculator, replace a with the height and θ with the angle. The answer will be b.

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Q: How do you find the base of right triangle when you have the height and the angle?
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How do you calculate the height of right triangle given the base and adjacent angle?

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Yes, that works for any triangle. The height always has to be at a right angle to the base. If there is an angle over 90 degrees, you may have to extend the base.Yes, that works for any triangle. The height always has to be at a right angle to the base. If there is an angle over 90 degrees, you may have to extend the base.Yes, that works for any triangle. The height always has to be at a right angle to the base. If there is an angle over 90 degrees, you may have to extend the base.Yes, that works for any triangle. The height always has to be at a right angle to the base. If there is an angle over 90 degrees, you may have to extend the base.


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You have to use trig. If the base angle is a and base b, the height is b tan(a).


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How do you calculate the base of the right triangle given the height and the opposite angle?

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