Calculate Triangle Area: Using Height 6 and Base 3.5 Units

Question

Calculate the area of the triangle below, if possible.

3.53.53.5666

Video Solution

Solution Steps

00:00 Calculate the area of the triangle
00:03 Apply the formula for calculating the area of a triangle
00:06 (base x height) divided by 2
00:09 Substitute in the relevant values according to the given data and proceed to solve for the area
00:12 This is the solution

Step-by-Step Solution

To solve this problem, we will determine the area of the triangle using the given base and height. Here are the steps:

  • Identify the given base and height: base =6 = 6 , height =3.5 = 3.5 .
  • Apply the formula for the area of a triangle: Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}.
  • Substitute the given values into the formula: Area=12×6×3.5\text{Area} = \frac{1}{2} \times 6 \times 3.5.
  • Calculate the area: =12×21=10.5= \frac{1}{2} \times 21 = 10.5.

Therefore, the area of the triangle is 10.510.5, which matches the correct multiple-choice option provided.

Answer

10.5