Question

The formula for the area of a triangle is A = 1/2 * b * h, where b is the length of the base and h is the height. Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.

a) 3 units
b) 5 units
c) 8 units
d) 0.9 units

Answer 1

The height of a triangle with an area of 30 square units and a base of 12 units is 5 units.

Step-by-step explanation:

To find the height of a triangle given the area and the base, we use the formula for the area of a triangle A = 1/2 × b × h, where b is the base and h is the height. Given that the area of the triangle is 30 square units and the base is 12 units, we can rearrange the formula to solve for the height h by multiplying both sides of the equation by 2 and then dividing by the base b.

So, 2 × A = b × h. Plugging in our values gives us 2 × 30 = 12 × h, which simplifies to 60 = 12h. To find h, divide both sides by 12, which gives us h = 60 / 12 = 5 units. Therefore, the height of the triangle is 5 units.