Calculate Triangle Area: Right Triangle with Height 5.5 and Base 7.8

Question

Calculate the area of the triangle, if possible.

7.87.87.85.55.55.5

Video Solution

Solution Steps

00:00 Calculate the area of the triangle
00:03 Apply the formula to calculate the triangle's area
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'll follow these steps:

  • Step 1: Identify the given information:
    • The base of the triangle is 7.87.8 units.
    • The height of the triangle is 5.55.5 units.
  • Step 2: Apply the formula for the area of a right triangle:

The formula for the area of a triangle is:

Area=12×base×height \text{Area} = \frac{1}{2} \times \text{base} \times \text{height}

Step 3: Perform the necessary calculations:

Substitute the values we have:

Area=12×7.8×5.5 \text{Area} = \frac{1}{2} \times 7.8 \times 5.5

Calculating further:

Area=12×42.9 \text{Area} = \frac{1}{2} \times 42.9 Area=21.45 \text{Area} = 21.45

Therefore, the area of the triangle is 21.4521.45 square units.

This matches with choice 4 provided: 21.45.

Answer

21.45