Question

If 5,5r,5r² are the lengths of sides of triangle then "r" cannot be equal to??
Options :1)3/4 2)5/4 3)7/4 4)3/2...​

Answer 1

Answer:

The correct option is (3): 7/4

Step-by-step explanation:

Sum of two sides > third side  

5 + 5r > 5r^2 => r^2 - r - 1 < 0

(r - 1/2)^2 - 5/4 < 0

(r - 1/2 + √5/2) (r - 1/2 - √5/2) < 0

1 - √5/2 <r < 1 + √5/2  ≈ 1.618

7/4 > 1 + √5/2