If the area of a triangle is 50 square units and its base is 10 units, what is the height of the triangle?
Practice Questions
1 question
Q1
If the area of a triangle is 50 square units and its base is 10 units, what is the height of the triangle?
5 units
10 units
15 units
20 units
Area of a triangle = (1/2) × base × height. Thus, 50 = (1/2) × 10 × height. Solving gives height = 10 units.
Questions & Step-by-step Solutions
1 item
Q
Q: If the area of a triangle is 50 square units and its base is 10 units, what is the height of the triangle?
Solution: Area of a triangle = (1/2) × base × height. Thus, 50 = (1/2) × 10 × height. Solving gives height = 10 units.
Steps: 5
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 50 square units and the base is 10 units. So, we write: 50 = (1/2) × 10 × height.
Step 3: Simplify the right side of the equation. Calculate (1/2) × 10, which equals 5. Now the equation is: 50 = 5 × height.
Step 4: To find the height, divide both sides of the equation by 5. So, height = 50 ÷ 5.
Step 5: Calculate 50 ÷ 5, which equals 10. Therefore, the height of the triangle is 10 units.
