the side of triangle are in ratio 2 :3 : 5 .if its perimeter is 100 cm the length of its smallest side is
Answers
Answer:
Step-by-step explanation:
LET MULTIPLY THE RATIO BY X
ANSWER:
2X+3X+5X=100
10X=100
X=10
SMALLEST SIDE IS 20CM
Length of the smallest side is 20 cm
Given :
- The side of triangle are in ratio 2 : 3 : 5
- The perimeter is 100 cm
To find :
Length of the smallest side
Solution :
Step 1 of 2 :
Form the equation
Here it is given that side of the triangle are in ratio 2 : 3 : 5
Let the sides are 2x cm , 3x cm , 5x cm
Now it is given that perimeter is 100 cm
By the given condition
2x + 3x + 5x = 100
Step 2 of 3 :
Find the value of x
2x + 3x + 5x = 100
⇒ 10x = 100
⇒ x = 100/10
⇒ x = 10
Step 3 of 3 :
Find length of the smallest side
So the sides of the triangle are 20 cm , 30 cm , 50 cm
Hence length of the smallest side = 20 cm
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