Calculate Triangle Area: Using Height 8 and Base 11

Question

AD is the height of triangle ABC.

BC = 11

AD = 8

Calculate the area of the triangle.

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Video Solution

Solution Steps

00:00 Calculate the triangle's area
00:03 Apply the formula for calculating the area of a triangle
00:07 (base x height) ➗ 2
00:12 Substitute in the relevant values according to the given data and proceed to solve for the area
00:36 This is the solution

Step-by-Step Solution

To solve for the area of triangle ABC \triangle ABC , we will use the standard formula for the area of a triangle:

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

Given:
Base BC=11 BC = 11
Height AD=8 AD = 8

Substitute these values into the area formula:

Area=12×11×8\text{Area} = \frac{1}{2} \times 11 \times 8

Calculate the area:

Area=12×88=44\text{Area} = \frac{1}{2} \times 88 = 44

Therefore, the area of triangle ABC \triangle ABC is 44\boxed{44}.

Answer

44