Calculate Triangle Height h: Given Area 70 cm² and Base 14 cm

The area of triangle DEF is 70 cm².

Calculate h given that the length of side FE is 14 cm.

To determine the height $h$ of triangle DEF given its area is 70 cm² and the side FE is 14 cm, we follow these steps:

• Identify the known elements: The base $b$ is 14 cm and the area $S$ is 70 cm².
• Use the area formula for a triangle:
  $S = \frac{1}{2} \times b \times h$.
• Rearrange the formula to solve for $h$:
  $h = \frac{2 \times S}{b}$.
• Substitute the given values into the formula:
  $h = \frac{2 \times 70}{14}$.
• Simplify the calculation:
  $h = \frac{140}{14} = 10$ cm.

Therefore, the height $h$ of triangle DEF is $10$ cm.