Find the height of a triangle whose base is 15 cm and area `120 cm^(2)`

Options

A. 32 cm
B. 16 cm
C. 26 cm
D. 28 cm

Answer

To find the height of a triangle given its base and area, we can use the formula for the area of a triangle:

**Step 1: Write down the formula for the area of a triangle.**
The formula for the area (A) of a triangle is:
\[ A = \frac{1}{2} \times \text{base} \times \text{height} \]

**Step 2: Substitute the known values into the formula.**
We know the area (A) is 120 cm² and the base is 15 cm. Substituting these values into the formula gives:
\[ 120 = \frac{1}{2} \times 15 \times h \]

**Step 3: Simplify the equation.**
To simplify, we can multiply both sides of the equation by 2 to eliminate the fraction:
\[ 2 \times 120 = 15 \times h \]
\[ 240 = 15h \]

**Step 4: Solve for height (h).**
Now, divide both sides by 15 to solve for h:
\[ h = \frac{240}{15} \]
\[ h = 16 \text{ cm} \]

So, the height of the triangle is **16 cm**.

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