The formula relations given by Pythagorean theorem is used to
determine the lengths and area of the given squares and triangles.
Responses:
1. Area of a is H: 25
2. Length of b is I: 5
3. Length of C is A: 7.94
4. Area of d is B: 35.73
Where can the Pythagorean theorem be used to find the lengths and areas of a figure?
1. Given;
The area of the side squares are; 9 m² and 16 m²
According to Pythagorean theorem, we have;
Area of square a = 9 m² + 16 m² = 25 m²
2. b² = Area of side square a
Therefore;
b = √(25 m²) = 5 m
3. Given;
Area of the squares adjacent to the hypotenuse side and a leg are;
144 m² and 81 m² respectively
According to Pythagorean theorem, we have;
C² = 144 m² - 81 m² = 63 m²
C = √(63 m²) = √(9 × 7 m²) = 3·√7 m ≈ 7.94 m
4. Area of triangle d = [tex]\frac{1}{2}[/tex] × √(81 m²) × 7.94 m ≈ 35.73 m
Learn more about Pythagorean theorem here:
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