Question

Goutham took random measurements of sides viz. AB = 3 cm, BC = 5 cm, and AC = 8.5 cm and started constructing a triangle ABC. Which of the following statement is correct?

• A. Right angle triangle can be formed using these measurements.
• B. Acute angle triangle can be formed using these measurements.
• C. Any type of triangle can be formed using these measurements.
• D. You cannot construct any type of triangle using these measurements.

Answer 1

The correct option is D You cannot construct any type of triangle using these measurements.

In a triangle, the sum of any two sides must be greater than the third side. But here, AB (3 cm) + BC (5 cm) = 8 cm; is less than AC (8.5 cm)

So, Goutham can't construct a triangle using sides AB = 3 cm, BC = 5 cm, and AC = 8.5 cm.