A triangle has an area of 36 square meters and a base of 9 meters. What is the h

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Question: A triangle has an area of 36 square meters and a base of 9 meters. What is the height of the triangle in meters?

Options:

Correct Answer: 6

Solution:

Area = (1/2) × base × height; 36 = (1/2) × 9 × height; height = (36 × 2) / 9 = 8 meters.

A triangle has an area of 36 square meters and a base of 9 meters. What is the height of the triangle in meters?

A triangle has an area of 36 square meters and a base of 9 meters. What is the height of the triangle in meters?

Step 1: Write down the formula for the area of a triangle: Area = (1/2) × base × height.
Step 2: Substitute the known values into the formula. We know the area is 36 square meters and the base is 9 meters: 36 = (1/2) × 9 × height.
Step 3: Simplify the equation. First, calculate (1/2) × 9, which equals 4.5. So now we have: 36 = 4.5 × height.
Step 4: To find the height, divide both sides of the equation by 4.5: height = 36 / 4.5.
Step 5: Calculate 36 divided by 4.5, which equals 8. So, the height of the triangle is 8 meters.

Area of a Triangle – The area of a triangle can be calculated using the formula: Area = (1/2) × base × height.
Algebraic Manipulation – The ability to rearrange equations to solve for an unknown variable, in this case, height.