Answer:
432 in.^2
Step-by-step explanation:
The side of the suitcase is a rectangle. One length is 24 inches. The diagonal of the rectangle is 30 inches long. The diagonal is a hypotenuse of a right triangle. The length is a leg. We need to find the other leg.
We use the Pythagorean theorem,
a^2 + b^2 = c^2
(24 in.)^2 + b^2 = (30 in.)^2
576 in.^2 + b^2 = 900 in.^2
b^2 = 324 in.^2
b = sqrt(324 in^2)
b = 18 in
area of rectangle = length * width
A = 24 in. * 18 in.
A = 432 in.^2
9514 1404 393
Answer:
A
Step-by-step explanation:
The Pythagorean triple (8, 15, 17) is often seen in algebra and geometry problems. You recognize it as choice A, so you know that is a right triangle.
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A spreadsheet or graphing calculator can perform the tedium of comparing the sum of squares of the shorter sides to the square of the longer side. The attachment shows a spreadsheet used for that purpose. It identifies the triple (8, 15, 17) as the sides of a right triangle.
What’s the problem doggggggggggg
The answer is yes. all 3 of those triangles have perfect square roots, being 5, 12, and 13 respectively. I hope this helps! Could I possibly get brainliest?