Question

Triangle D E F. Side D F is 6 inches, side F E is 10 inches, and side E D is question mark.

Which could be a possible length of side DE?

2 in.

3 in.

7 in.

16 in.

Answer 1

Question:

Triangle D E F. Side D F is 6 inches, side F E is 10 inches, and side E D is question mark.

Which could be a possible length of side DE?

2 in.

3 in.

7 in.

Answer:

C.) 7 in.

Explanation:

To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c. Remember the formula for finding the perimeter of a triangle. For a triangle with sides a, b and c, the perimeter P is defined as: P = a + b + c. What this formula means in simpler terms is that to find the perimeter of a triangle, you just add together the lengths of each of its 3 sides. Since all the three sides of the triangle are of equal length, we can find the perimeter by multiplying the length of each side by 3. 20 + 20 + 20 = 3 × 20 = 60 cm. Thus, the perimeter of an equilateral triangle is 3 times the length of each side. Area of a two-dimensional shape is the space occupied by the shape.

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Answer 2

7

Explanation:

THe Triangle Inequality Theorem states that the sum of the two least sides of a triangle must be greater than the third side. In this case, 2 and 6 are less than 10, 3 and 6 are less than 10, 6 and 10 are greater than 16, so the only number left is 7. The sum of seven and six is greater than ten so seven would be the correct answer.