Question

1. find the perimeter and area of this triangle. dimensions are in kilometers. 8 15.3 13

Explanation:

Step1: Calculate the perimeter

Add all side lengths:
$P = 8 + 13 + 15.3$

Step2: Simplify perimeter expression

$P = 36.3$

Step3: Identify right triangle (verify)

Check Pythagorean theorem: $8^2 + 13^2 = 64 + 169 = 233$, and $15.3^2 \approx 234.09$ (close, assumed right triangle with legs 8,13)

Step4: Calculate triangle area

Use right triangle area formula:
$A = \frac{1}{2} \times 8 \times 13$

Step5: Simplify area expression

$A = 52$

Answer:

Perimeter: $\boldsymbol{36.3}$ kilometers
Area: $\boldsymbol{52}$ square kilometers