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A right triangle with a hypotenuse of length 15 and a leg of length 8 has an area of: 50.75 units2
There is no right triangle on the right! (Ignore the length of the hypotenuse of a right triangle.) if you have the length of the two legs (base and the upright side): (base x upright) ÷ 2 = area of the right angle triangle.
equilateral right triangle
It can be any length; a right angle triangle just needs to include a right angle somewhere. But length has nothing to do with whether it is a right angle or not.
An isoscles triangle is a triangle which has two of its sides equal in length. Yes, absolutely a right triangle can also be an isoscles triangle.