Question

The lengths of the sides of triangle PQR are consecutive integers. The sum of the two longest sides is 41 cm. What is the length of the longest side?​

Answer 1

21 cm.

Explanation:

The sum of the two longest sides is given as 41 cm:

(x+1) + (x+2) = 41

Simplifying the left side:

2x + 3 = 41

Subtracting 3 from both sides of the equation :

2x = 38

Dividing both sides by 2:

x = 19

In the big picture(at least of the triangle), the length of the shortest side is 19 cm, and the lengths of the other two sides are 20 cm and 21 cm.

Hope it helped!