Question - Finding the Length of the Missing Leg in a Right Triangle
Solution:
The image shows a right-angled triangle with one of the legs measuring 7 cm and the hypotenuse measuring 25 cm. We are to find the length of the other leg.Since this is a right-angled triangle, we can use the Pythagorean theorem to find the length of the missing side. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b):c² = a² + b²Given that the hypotenuse (c) is 25 cm and one of the legs (a) is 7 cm, we can rearrange the equation to solve for the other leg (b):b² = c² - a²b² = 25² - 7²b² = 625 - 49b² = 576Taking the square root of both sides gives us the length of b:b = √576b = 24 cmSo, the length of the other leg of the triangle is 24 cm.
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