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Home » Recognize it as a perfect square: \( (2x - 3)^2 = 0 \). - Baxtercollege

Recognize it as a perfect square: \( (2x - 3)^2 = 0 \). - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Use the identity: \( x^2 + y^2 = (x + y)^2 - 2xy \)

📌 Substitute \( x + y = 10 \) and \( xy = 21 \):

📌 \( x^2 + y^2 = 10^2 - 2 \times 21 = 100 - 42 = 58 \)

📌 A triangle has sides of length 7 cm, 24 cm, and 25 cm. Is it a right triangle? If so, what is its area?

📌 Check if it satisfies the Pythagorean theorem:

📌 \( 7^2 + 24^2 = 49 + 576 = 625 = 25^2 \)

📌 Yes, it is a right triangle.

📌 Area of a right triangle is \( \frac{1}{2} \times \text{base} \times \text{height} \)

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