The sides of a triangle are in the ratio 4 : 7 : 9. If the sum of the shortest and the longest sides is 65 cm, then what is the length of the third side? (in cm)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 35 cm
Given:
The sides of a triangle are in the ratio 4 : 7 : 9.
If the sum of the shortest and the longest sides is 65 cm.
Calculations:
Let the sides of the triangle be 4x, 7x and 9x.
Sum of the shortest and the longest sides = 9x + 4x
⇒ 13x = 65
⇒ x = 5
Length of the third side = 7x
⇒ 7 × 5
⇒ 35 cm.