A right triangle has an area of 30 square units and one leg measuring 10 units.

₹0.0

Question: A right triangle has an area of 30 square units and one leg measuring 10 units. What is the length of the other leg?

Options:

Correct Answer: 6

Solution:

Area = (1/2) * base * height, so 30 = (1/2) * 10 * height. Thus, height = 6.

A right triangle has an area of 30 square units and one leg measuring 10 units. What is the length of the other leg?

A right triangle has an area of 30 square units and one leg measuring 10 units. What is the length of the other leg?

Step 1: Understand that the area of a right triangle can be 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 10 units.
Step 3: Substitute the known values into the area formula: 30 = (1/2) * 10 * height.
Step 4: Simplify the equation. First, calculate (1/2) * 10, which equals 5. So, the equation becomes: 30 = 5 * height.
Step 5: To find the height, divide both sides of the equation by 5: height = 30 / 5.
Step 6: Calculate the result: height = 6 units.

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, the two legs are perpendicular to each other, and one leg can be considered as the base while the other as the height for area calculations.