Q: How do you find the area of the right angle triangle given the base hypotenuse and perimeter?

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No dimensions have been given but to find the hypotenuse of a right angle triangle use Pythagoras' theorem.

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

It really depends on what your hypothesis is! But I expect a hypotenuse could be more useful in this context. However, knowledge of the hypothesis, hypotenuse even, is not enough to enable you to find the perimeter.

No. Given a triangle with only the right angle and the hypotenuse, you cannot calculate the other sides nor the other angles.

One is the hypotenuse times the sine of one acute angle, the other, the hypotenuse times the sine of the other acute angle (or the cosine of the first).

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Given a right triangle, the hypotenuse is the longest side or simply the side opposite the 90o angle.

The Hypotenuse.

No dimensions have been given but to find the hypotenuse of a right angle triangle use Pythagoras' theorem.

If it's a right angle triangle and an acute angle plus the length of a leg is given then use trigonometry to find the hypotenuse.

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

It really depends on what your hypothesis is! But I expect a hypotenuse could be more useful in this context. However, knowledge of the hypothesis, hypotenuse even, is not enough to enable you to find the perimeter.

If it isn't the hypotenuse, then it's the "Adjacent" side.

No. Given a triangle with only the right angle and the hypotenuse, you cannot calculate the other sides nor the other angles.

Yes with a bit of give and take its sides can eventually be worked out.

One is the hypotenuse times the sine of one acute angle, the other, the hypotenuse times the sine of the other acute angle (or the cosine of the first).

Cos is the ratio between adjacent side (of the given angle thieta) to the hypotenuse of the triangle.

Measure it or use trigonometry if the 'included' angle is given.