Question

Use the image to answer the question. A triangle with base length 20 inches, sides 16.64 inches & 17.8 inches, & height 14 inches. What is the area, in square inches, of the triangle? Enter your answer as a decimal rounded to the nearest hundredth, like this: 42.53

Answer 1

139.95

Explanation:

# Define the triangle's base and side lengths

base = 20

side1 = 16.64

side2 = 17.8

# Calculate the semi-perimeter of the triangle

semi_perimeter = (base + side1 + side2) / 2

# Calculate the area of the triangle using Heron's formula

area = np.sqrt(semi_perimeter * (semi_perimeter - base) * (semi_perimeter - side1) * (semi_perimeter - side2))

# Round the area to the nearest hundredth

rounded_area = round(area, 2)

Answer 2

140m²

Explanation:

To find the area of a triangle with a known base and height, you can use the formula:

`\text{Area} = (1)/(2) * \text{base} * \text{height}`

Given:

Base length = 20 inches

Height = 14 inches

`\text{Area} = (1)/(2) * 20 * 14 \\\\ \text{Area} = (1)/(2) * 280 \\\\ \text{Area} = 140 \text{ square inches}`

This calculation assumes that the sides provided (16.64 inches and 17.8 inches) are indeed the legs of the triangle, forming a right triangle with the base and height.