Find the area of a right-angled triangle if its leg and hypotenuse are 12 and 13, respectively.

1. The length of the leg AB is 12 units. The length of the BC hypotenuse is 13 units. Angle A is straight. S is the area of the triangle.

2. We calculate the length of the AC – the second leg of the triangle. For this we use the theorem

Pythagoras:

AC = √BC² – AB² = √13² – 12² = √169 – 144 = √25 = 5 units.

3. S = 1 / 2AC x AB = 1/2 x 12 x 5 = 30 units of measurement².

Answer: S is equal to 30 units of measurement².