A triangle has sides of length 7, 24, and 25. Is it a right triangle?
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- If a sequence starts at 5 and increases by 4 each time, what is the 12th term?
- The nth term of an arithmetic sequence is given by: first term + (n - 1) Ã common difference.
- The 12th term is 5 + (12 - 1) Ã 4 = 5 + 44 = 49.
- Check using the Pythagorean theorem: \(7^2 + 24^2 = 49 + 576 = 625 = 25^2\).
- Since the sum of the squares of the two shorter sides equals the square of the longest side, it is a right triangle.
- A circle has a radius of 7 cm. What is its area? (Use \(\pi pprox rac{22}{7}\))
