Question

Which are the lengths of the sides of a scalene triangle?

A) 7 mm, 4 mm, 7 mm

B) 3 mm, 3 mm, 3 mm

C) 2 mm, 8 mm, 8 mm

D) 6 mm, 9 mm, 4 mm

Answer 1

The lengths of the sides of a scalene triangle are 6 mm, 9 mm, and 4 mm. The correct option is D) 6 mm, 9 mm, 4 mm because it's the only set where all three sides have different lengths.

Step-by-step explanation:

The question asks to identify the lengths of the sides of a scalene triangle. A scalene triangle is defined as a triangle with all three sides of different lengths. Therefore, we need to find a set of three numbers where each number is unique. Among the given options:

• A) 7 mm, 4 mm, 7 mm - This is not a scalene triangle because two sides are equal.
• B) 3 mm, 3 mm, 3 mm - This is not a scalene triangle; it's an equilateral triangle as all three sides are equal.
• C) 2 mm, 8 mm, 8 mm - This is not a scalene triangle; it's an isosceles triangle because two sides are equal.
• D) 6 mm, 9 mm, 4 mm - This is a scalene triangle as all three sides are different.

Therefore, the correct answer is D) 6 mm, 9 mm, 4 mm. These lengths satisfy the condition of a scalene triangle, which requires all sides to be of different lengths.