Questions: Find the unknown side of the triangle below (round to the nearest tenth).

Find the unknown side of the triangle below (round to the nearest tenth).
Transcript text: Find the unknown side of the triangle below (round to the nearest tenth).
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Solution

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Solution Steps

Step 1: Apply the Pythagorean theorem

The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 25 cm, one side is 10 cm, and the unknown side is x. So, we can write the equation:

25² = 10² + x²

Step 2: Solve for x²

625 = 100 + x² x² = 625 - 100 x² = 525

Step 3: Solve for x

x = √525 x ≈ 22.9

Final Answer: The length of the unknown side x is approximately 22.9 cm.

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