Answer:
162.8 cm²
Step-by-step explanation:
The formula for the area of a triangle is
A = 1/2bh, where b is the base and h is the height.
The base can be represented as the given leg, 27.6 cm. We do not know the height. We must use the Pythagorean theorem to find this:
a²+b² = c²
27.6²+b² = 30²
761.76+b² = 900
Subtract 761.76 from each side:
761.76+b²-761.76 = 900-761.76
b² = 138.24
Take the square root of each side:
√(b²) = √(138.24)
b = 11.8
Now we use the area formula:
A = 1/2(11.8)(27.6) = 162.84 ≈ 162.8
