Find the area of this triangle if it has: Angle = 90 degrees, sides = 6cm and 3cm.

In solving this problem, there can be two options:
1) The indicated sides are the legs of a right-angled triangle, since the problem says that it has a right angle of 90 °.
2) One of the indicated sides – 6 cm – is the hypotenuse, and 3 cm is the smaller leg.
Let’s find the area of the triangle for the first case:
(6 * 3) * 1/2 = 18 * 1/2 = 18/2 = 9 (cm²).
To find the area for the second case, first find the leg at the base of the triangle:
3² + x² = 6²;
9 + x² = 36;
x² = 36 – 9;
x² = 27;
x = √27;
x = √ (9 * 3);
x = 3√3 (cm²).
Find the area:
(3 √3 * 3) * 1/2 = 9√3 * 1/2 = 9√3 / 2.
ANSWER: 1) 9 cm²; 2) 9√3 / 2 cm².