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Q: What is one of the two shorter sides of a right triangle?
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How do you find one of the shorter sides of a right angled triangle knowing the hypotenuse and one of the shorter sides?

a^2 + b^2 = c^2 c= hypotenuse a and b are the legs (sides) of the triangle


One pair of parallel sides of different lengths and 2 right angels?

A right trapezium. (A right angled triangle, sitting on one of the shorter sides, with its apex cut off by a line parallel to its base.)


Height of an isosceles triangle?

If you know the length of the sides, you can use Pythagoras' Theorem to calculate the height. Use half the base for one of the shorter sides, and either of the two identical sides of the triangle for the hypothenuse. Solve for the other one of the shorter sides (the height).


What triangle has two equal sides and one longer one?

An isosceles triangle. It is an isosceles triangle even if the third side is shorter.


What is a Scalene right triangle?

A scalene right triangle is a triangle that has no congruent sides and and one right angle.


What is the definition for leg of a triangle?

There is no formal definition: it is any side of a triangle. Often, if the triangle has a horizontal base, then it is one of the sloped sides. In a right angled triangle, it is one of sides adjacent to the right angle. In an isosceles triangle, it is one of the equal sides.


What is true of all hypotenuse compared to the other side?

The hypotenuse of any right triangle is longer than either one of the other two sides of the same right triangle. But it's shorter than their sum.


What kind of triangle has its circumcenter on one of its sides?

A right triangle


What triangle has one right angle and all three sides are different lengths?

A triangle with a right angle and different lengths for sides is a right, scalene triangle.


What is the name of a shape that has 3 sides and 1 right angle?

A right triangle has three sides and one right angle.


How do you solve a Pythagoras problem when the two shorter sides are both unknown?

You cannot - unless there is some other information. For example, that the triangle is isosceles, or that one of the shorter sides is related to the other is some way. Or there is another triangle (or other shape) from which you can work out one of the sides.


What type of triangle has a circumcenter on one of its sides?

A right angled triangle.