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Q: How do you calculate the base of a right triangle given the height and angle?

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If you're only given the base, then you can't calculate the other leg. If you have any one of the following, then you can calculate all of the parts of the triangle: -- length of the other leg -- length of the hypotenuse -- size of either acute angle

With Pythagoras' theorem or trigonometry depending on the information you are given.

(base x height) / 2

It is: perimeter minus hypotenus+base = height Area = 0.5*base*height

Use trigonometry if another angle is given. Use Pythagoras' theorem if the hypotenuse is given. Multiply the area by 2 and divide it by its height if the area is given. Or simply measure it.

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Height will be h=base*tan(angle).

By using the tangent ratio of: opposite/tangent angle = adjacent which is the base

If you're only given the base, then you can't calculate the other leg. If you have any one of the following, then you can calculate all of the parts of the triangle: -- length of the other leg -- length of the hypotenuse -- size of either acute angle

Providing it's a right angle triangle the formula is: hypotenuse2-base2 = height2

I could solve this if I knew what kind of triangle this was. Equilateral, Right: 30, 60, 90?

With Pythagoras' theorem or trigonometry depending on the information you are given.

The side you use as the base does not matter. What does matter is that the height is the perpendicular distance between this side and the other vertex. If there is a right angle in the triangle, then use the two sides next to it as the base and height. Otherwise a bit of trigonometry will be required to work out the height of the triangle if it is not given.

It is impossible to find a triangle if only angle measures are given (all similar triangles have the same angles).

(base x height) / 2

The measure of only one angle and one side is not sufficient to calculate the lengths of the sides of a triangle. If you have one more angle or one more side you can use the sine rule.

The angles in a triangle add up to 180 so one can calculate depending on the type of question or information given. For example;when one is given a scalene triangle, one can calculate the missing angle by equating all the angles to 180 and then find the missing one.

You can either use a protractor or, if you're given the other angles in a triangle, you can subtract them from 180. An acute angle is an angle less that 90 degrees.

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