Triangle Height Calculation: Finding X When Area = 3 and Base = 2

Question

The area of the triangle below is equal to 3.

Calculate X.

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Video Solution

Solution Steps

00:04 Let's find the height, X.
00:07 We'll use the area formula for triangles.
00:11 That's base B C times height A E, then divide by 2.
00:17 Now, plug in the numbers and solve for height, X.
00:26 Remember to simplify by reducing the 2.
00:30 Great job! That's how we find the solution.

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information.
  • Step 2: Apply the formula for the area of a triangle.
  • Step 3: Solve for X X .

Now, let's work through each step:
Step 1: The problem provides the area of the triangle as 3 3 square units, with the base of the triangle as 2 2 units.
Step 2: The formula used for the area of a triangle is Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}.
Given that the base is 2 2 and the area is 3 3 , we rearrange to find X X (the height):

3=12×2×X 3 = \frac{1}{2} \times 2 \times X

Simplifying, we get:

3=X 3 = X

Therefore, the length of X X is 3 3 .

Answer

3