Types of Triangles: Applying the formula

Since the triangle is equilateral, that is, all sides are equal to each other.

The perimeter of the triangle is equal to the sum of all sides together, the perimeter of the triangle in the drawing is equal to:

$5+5+5=15$

Since we are referring to an isosceles triangle, the two legs are equal to each other.

In the drawing, they give us the base which is equal to 4 and one side is equal to 6, therefore the other side is also equal to 6.

The perimeter of the triangle is equal to the sum of the sides and therefore:

$6+6+4=12+4=16$

Due to the fact that the the triangle is isosceles, its two legs are equal to one another.

Therefore, the base is 7 and the other two sides are 12.

The perimeter of a triangle is equal to the sum of all the sides together:

$12+12+7=24+7=31$

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

• Step 1: Recognize the triangle is equilateral with all sides having the same length.
• Step 2: Apply the perimeter formula for an equilateral triangle.
• Step 3: Calculate the perimeter using the provided side length.

Now, let's work through each step:
Step 1: We are given an equilateral triangle with one side length $7$. All sides in an equilateral triangle are the same, so each side is $7$.

Step 2: The formula for the perimeter $P$ of an equilateral triangle is given by:
$P = 3s$ where $s$ is the side length of the triangle.

Step 3: Plugging our known side length $s = 7$ into the formula, we have:
$P = 3 \times 7 = 21$

Therefore, the solution to the problem is 21.

Since the two legs are equal, we know that:

$AB=AC=9$

The perimeter of the triangle is equal to the sum of all sides, therefore:

$AB+AC+BC$

Now let's substitute the known data into the formula and calculate:

$9+9+3=18+3=21$

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

• Step 1: Identify the side length of the equilateral triangle, which is given as $5$.
• Step 2: Use the formula for the perimeter of an equilateral triangle: $\text{Perimeter} = 3 \times \text{side length}$.
• Step 3: Substitute the given side length into the formula and calculate the perimeter.

Now, let's work through each step:
Step 1: The side length of triangle ABC is $5$.
Step 2: The perimeter formula for an equilateral triangle is $3 \times s$, where $s$ is the side length.
Step 3: Plugging in the side length, we get:
$\text{Perimeter} = 3 \times 5 = 15$

Therefore, the perimeter of triangle ABC is $15$.

The problem provides us with an isosceles triangle $ABC$ where two sides are equal. According to the diagram and given values, $AC = AB = 6$ and $BC = 4$.

• Step 1: Identify the sides of the triangle.
  • Equal sides: $AC = 6$ and $AB = 6$.
  • Base: $BC = 4$.
• Step 2: Calculate the perimeter.
  • Use the formula for the perimeter of a triangle: $P = a + b + c$.
  • Substitute the side lengths: $P = 6 + 6 + 4$.
  • Simplify: $P = 16$.

Therefore, the perimeter of triangle $ABC$ is $16$.