Answer:
1. Use the Adjacent and opposite side (Ignore the Hypotenuse)
Or use HERO'S FORMULA based on the information given
2. Area = 216cm^2
Step-by-step explanation:
There are three to four ways we can go about finding the area of a triangle. And a these would be dependent on the information given about the triangle.
From the question, you said the three side lengths are given. In such case, we employ the HERO FORMULA.
HERO FORMULA:
Area = √ s(s-a)(s-b)(s-c)
where s = 1/2(a + b + c)
a, b, c are the three sides
But since the question insisted that we use 1/2* base * height. Let's use our know of right angle to dissolve that.
A right angle triangle has three sides. The longest is always the Hypotenuse.
Let's take it this way.
Hypotenuse = 30cm
Opposite= 18cm
Adjacent = 24cm
Area = 1/2 * base * height
Area = 1/2 * 18 * 24
Area = 1/2 * 432
Area = 216cm^2
We ignored the longest side, (the Hypotenuse)