In a right triangle, if the lengths of the legs are 8 and 15, what is the area o

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Question: In a right triangle, if the lengths of the legs are 8 and 15, what is the area of the triangle?

Options:

Correct Answer: 60

Solution:

Area = (1/2) * base * height = (1/2) * 8 * 15 = 60.

In a right triangle, if the lengths of the legs are 8 and 15, what is the area of the triangle?

In a right triangle, if the lengths of the legs are 8 and 15, what is the area of the triangle?

Step 1: Identify the lengths of the legs of the right triangle. In this case, the lengths are 8 and 15.
Step 2: Understand that in a right triangle, one leg can be considered the base and the other leg can be considered the height.
Step 3: Use the formula for the area of a triangle, which is Area = (1/2) * base * height.
Step 4: Substitute the values of the base and height into the formula. Here, base = 8 and height = 15.
Step 5: Calculate the area: Area = (1/2) * 8 * 15.
Step 6: First, multiply 8 and 15 to get 120.
Step 7: Then, multiply 120 by (1/2) to get 60.
Step 8: Conclude that the area of the triangle is 60.

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 legs in a right triangle.
Right Triangle Properties – In a right triangle, the two legs can be considered as the base and height for area calculation.