Find the base of the triangle whose :
area `=4.2m^(2)`, height = 2.4 m.

Answer

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

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

### Step 2: Substitute the known values into the formula.
We know the area \( A = 4.2 \, m^2 \) and the height \( h = 2.4 \, m \). Substituting these values into the formula gives:
\[ 4.2 = \frac{1}{2} \times \text{base} \times 2.4 \]

### Step 3: Simplify the equation.
To isolate the base, first multiply both sides by 2 to eliminate the fraction:
\[ 2 \times 4.2 = \text{base} \times 2.4 \]
This simplifies to:
\[ 8.4 = \text{base} \times 2.4 \]

### Step 4: Solve for the base.
Now, divide both sides by 2.4 to find the base:
\[ \text{base} = \frac{8.4}{2.4} \]

### Step 5: Calculate the value.
Now, perform the division:
\[ \text{base} = \frac{8.4}{2.4} = 3.5 \, m \]

### Final Answer:
The base of the triangle is \( 3.5 \, m \).

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