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A right triangle (or right-angled triangle, formerly called a rectangled triangle) has one of its interior angles measuring 90Â° (a right angle). The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle. The other two sides are the legs or catheti[4] (singular: cathetus) of the triangle. Right triangles obey the Pythagorean theorem: the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse: a2 + b2 = c2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

Q: If you know the height and the length of a triangle how do you work out the diagnal of a right angle triangle?

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The measurement of the angle of the triangle...supposing it is a triangle.

A right angle isosceles triangle is then formed which will have two 45 degrees angles and one 90 degrees angle.

That for any right angle triangle the length of its hypotenuse when squared is equal to the of length of the base when squared plus the length of the height when squared:- a2+b2 = c2 where a and b are the base and the height of the triangle and c is its hypotenuse.

The answer depends on whether the base is one of the legs of the right angle or the hypotenuse. Also, a triangle cannot have a diagonal.

The area of a triangle (At) is one half the length of the base (b) times the height (h).Atriangle = 0.5bhThe height of a triangle is the length of the line drawn perpendicular (at right angles to) to the base from the angle opposite the base.

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The measurement of the angle of the triangle...supposing it is a triangle.

A right angle isosceles triangle is then formed which will have two 45 degrees angles and one 90 degrees angle.

That for any right angle triangle the length of its hypotenuse when squared is equal to the of length of the base when squared plus the length of the height when squared:- a2+b2 = c2 where a and b are the base and the height of the triangle and c is its hypotenuse.

The answer depends on whether the base is one of the legs of the right angle or the hypotenuse. Also, a triangle cannot have a diagonal.

An equilateral triangle hasn't a hypotenuse; hypotenuse means the side opposite the right angle in a right triangle. An equilateral triangle has no right angles; rather all three of its angles measure 60 degrees. Knowing the length of the hypotenuse of a right triangle does not give enough information to determine the triangle's height. But the length of a side (which is the same for every side) of an equilateral triangle is enough information from which to calculate the height of that triangle. The first way is simply to use the formula that has been developed for this purpose: height = (length X sqrt(3)) / 2. But you can also use the geometry of right triangles to solve for the height. That is because you can bisect the triangle with a vertical line from the top vertex to the center of the base. The length of that line, which splits the equilateral triangle into two right triangles, is the height of the equilateral triangle. We know a lot about each right triangle formed by bisecting the equilateral triangle: * - The hypotenuse length is the length of the equilateral triangle's side. * - The base length is half the length of the hypotenuse. * - The angle opposite the hypotenuse is 90 degrees. * - The angle opposite the vertical is 60 degrees (the measure of every angle of any equilateral triangle). * - The angle opposite the base is 30 degrees (half of the bisected 60-degree angle). * - (Note that the sum of the angles does equal 180 degrees, as it must.) Now to solve for the height of a right triangle. There are a few ways. For labeling, let's let h=height of the equilateral triangle and the vertical side of the right triangle; A=every angle of the equilateral triangle (each 60o); s=side length of any side of the equilateral triangle and thus the hypotenuse of the right triangle. Since the sine of an angle of a right triangle is equal to the ratio of the opposite side divided by the hypotenuse, we can write that sin(A) = h/s. Solving for h, we get h=sin(A)/s. With trig tables you can now easily find the height.

10.95 cm

The area of a triangle (At) is one half the length of the base (b) times the height (h).Atriangle = 0.5bhThe height of a triangle is the length of the line drawn perpendicular (at right angles to) to the base from the angle opposite the base.

If it's a right angle triangle and you know its base and height then use Pythagoras' theorem to find the length of its hypotenuse.

Infinitely many.

Yes... opposite an angle of a right triangle to the length of the triangle's hypotenuse.

The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.

I think you need at least one other piece of information. A length of a side? An angle? Is it a right angled triangle?