It is also given by the square root of the (*) semiperimeter times the difference between the semiperimeter and each side, which is called Heron's formula.
Half the sum of the side lengths times the inradius gives this quantity. This value is equal to half the product of two side lengths with the sine of the opposite angle. It is also given by the square root of the (*) semiperimeter times the difference between the semiperimeter and each side, which is called Heron's formula. The most common formula to find this value uses an altitude of the shape. For 10 points, name this quantity equal to one-half base times height.
Half the sum of the side lengths times the inradius gives this quantity.
area of a triangle (both parts required; prompt on area; accept logical equivalents including both underlined parts)