A right triangle has an area of 30 square units and one leg measuring 5 units. W

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Question: A right triangle has an area of 30 square units and one leg measuring 5 units. What is the length of the other leg?

Options:

Correct Answer: 10

Solution:

Area = (1/2) * base * height, so 30 = (1/2) * 5 * height. Thus, height = 30 * 2 / 5 = 12.

A right triangle has an area of 30 square units and one leg measuring 5 units. What is the length of the other leg?

A right triangle has an area of 30 square units and one leg measuring 5 units. What is the length of the other leg?

Step 1: Understand that the area of a right triangle is calculated using the formula: Area = (1/2) * base * height.
Step 2: Identify the given values. The area is 30 square units, and one leg (base) is 5 units.
Step 3: Substitute the known values into the area formula: 30 = (1/2) * 5 * height.
Step 4: To eliminate the fraction, multiply both sides of the equation by 2: 30 * 2 = 5 * height.
Step 5: This simplifies to 60 = 5 * height.
Step 6: To find the height (the length of the other leg), divide both sides by 5: height = 60 / 5.
Step 7: Calculate the result: height = 12.

Area of a Triangle – The area of a triangle can be calculated using the formula Area = (1/2) * base * height, where the base and height are the lengths of the two legs in a right triangle.
Right Triangle Properties – In a right triangle, one leg can be considered as the base and the other leg as the height when calculating the area.