Triangle Practice Problems & Worksheets - Free Online

To find the perimeter of triangle $\triangle ABC$, we need to sum the lengths of its sides:

• Side $AB = 3$
• Side $BC = 4$
• Side $CA = 5$

Using the formula for the perimeter of a triangle:

$\text{Perimeter} = AB + BC + CA$

Substitute the known values:

$\text{Perimeter} = 3 + 4 + 5$

$\text{Perimeter} = 12$

Thus, the perimeter of triangle $\triangle ABC$ is $\mathbf{12}$.

From the multiple-choice options provided, the correct choice is option 1: 12.

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

• Step 1: Identify the given information.
• Step 2: Apply the perimeter formula for a triangle.
• Step 3: Perform the addition to find the perimeter.

Now, let's work through each step:

Step 1: We have the lengths of the sides of $\triangle ABC$ as follows:
$AB = 7$, $BC = 14$, and $CA = 8$.

Step 2: We'll use the formula for the perimeter of a triangle, which is the sum of its side lengths:
$P = AB + BC + CA$.

Step 3: Plugging in the values, we calculate:
$P = 7 + 14 + 8 = 29$.

Therefore, the perimeter of $\triangle ABC$ is $\textbf{29}$.

To solve this problem, begin by identifying the elements involved in calculating the area of a right triangle. In a right triangle, the two sides that form the right angle are known as the legs. These legs act as the base and height of the triangle.

The formula for the area of a triangle is given by:

In the case of a right triangle, the base and height are the two legs. Therefore, the process of finding the area involves multiplying the lengths of the two legs together and then dividing the product by 2.

Based on this analysis, the correct way to complete the sentence in the problem is:

To find the area of a right triangle, one must multiply the two legs by each other and divide by 2.

The formula for calculating the area of a triangle is:

(the side * the height from the side down to the base) /2

That is:

$\frac{BC\times AE}{2}$

We insert the existing data as shown below:

$\frac{4\times5}{2}=\frac{20}{2}=10$

To solve the problem of finding the area of triangle $\triangle ABC$, we follow these steps:

• Step 1: Identify the given measurements.
• Step 2: Use the appropriate formula for the area of a triangle.
• Step 3: Calculate the area using these measurements.

Let's go through each step in detail:
Step 1: From the figure, the base $AB = 10$ and height $AC = 2$.
Step 2: The formula for the area of a triangle is: $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$.
Step 3: Substituting the known values into the formula, we get:

$\text{Area} = \frac{1}{2} \times 10 \times 2 = \frac{1}{2} \times 20 = 10$

Therefore, the area of triangle $\triangle ABC$ is 10.