The length of side x of the pyramid is equal to 47 inches.
Given the following data:
- Length A (adjacent) = 12 inches.
- Length B (opposite) = 46.5 inches.
To determine the length of side x of the pyramid, we would apply Pythagorean's Theorem:
What is Pythagorean Theorem?
Pythagorean theorem is a fundamental mathematical expression in Euclidean geometry that can be used to determine any of the three (3) sides of a right triangle.
Mathematically, Pythagorean's Theorem is given by this formula:
[tex]c^2 = a^2 + b^2[/tex]
Where:
Substituting the given parameters into the formula, we have:
[tex]x^2=2^2 +46.5^2\\\\x^2=4+2162.25\\\\x^2=2166.25\\\\x=\sqrt{2166.25}[/tex]
x = 46.54 ≈ 47 inches.
b. To find the length of the support:
Since the support is altitude (y) to the hypotenuse of the right-angled triangle, we have:
Length = [tex]\frac{12 \times \sqrt{47}} {47}[/tex]
Length = 1.75 ≈ 2 inches.
c. The support would attach to base of the hypotenuse of the plywood, which is the triangle formed by altitude (y) to the hypotenuse of the right-angled triangle.
Read more on Pythagorean Theorem here: https://brainly.com/question/16176867
