a. The area of a right-angled triangle is given by the formula A = 1/2 * base * height. Therefore, the area of the triangle is A = 1/2 * b * a.
b. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is c, so we have c^2 = a^2 + b^2.
Taking the square root of both sides gives us c = √(a^2 + b^2).
6. A right-angled triangle has base b and height a. Both have the same unit.
a. What is the area of the triangle?
b. What is the length of the hypotenuse (the third side)?
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