Question

The sides of a quadrilateral are all positive integers and three of them are 30, 80 and 90 units. How many possible values are there for the fourth side________

A) 120 B) 199 C) 125 D) 190
P.S: Options may not be accurate.

Answer 1

The number of possible values for the fourth side are 179.

Step-by-step explanation:

Property of quadrilaterals all sides of quadrilateral is less than sum of all other sides

• Given sides are of length  30, 80, 90

• Let's say the maximum length  = 30+80+90 -1 = 199

• Let minimum be x

90 = 80+ 30 +x

x = 110 - 90

x = 20

x = 21 ( as it's < not equal to sum of all other sides)

From 21 to 199 integer can be

199 - 20 = 179

Answer 2

Answer:

B. 199

30+80+90-1=199