Answer:
- area: 41.5√3 ≈ 70.1 square units
- perimeter: 27+9√3 ≈ 42.6 units
Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are 1:√3:2. This means ...
KL = 9√3
AL = 9·2 = 18
The area is ...
A = 1/2bh
A = 1/2(9√3)(9) = 40.5√3 ≈ 70.1 . . . square units
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The perimeter is the sum of side lengths:
9 +9√3 +18 = 27 +9√3 ≈ 42.6 . . . units
