| In a triangle, sides are in ratio of 2 : 3 : 4. Find the equivalent value of sides in percentage. |
As per the given question:
First Side : Second Side : Third Side = 2 : 3 : 4
So, three sides of triangle are the term of ratio & their respective term value is:
First Side = 2
Second Side = 3
Third Side = 4
Steps of Conversion are as follows:
Step 1 : Calculate Sum of terms of given ratio and we get:
2 + 3 + 4 = 9
Therefore sum of terms of given ratio = 9
Step 2 : Represent Ratio of three sides in Fractional formn
Fractional Form for First Side = First side Term Value / Sum of terms
Put value of First side and sum of terms from above and we get:
= 2/9
Therefore, Fractional Form for First side = 2/9
Fractional Form for Second Side = Second side Term Value / Sum of terms
Put value of Second side and sum of terms from above and we get:
= 3/9
Therefore, Fractional Form for Second side = 3/9
Fractional Form for Third Side = Third side Term Value / Sum of terms
Put value of Third side and sum of terms from above and we get:
= 4/9
Therefore, Fractional Form for Third side = 4/9
Step 3 : Convert Fractional Form into percentage
Percentage of First side = Fractional Form for First side x 100 %
Put value of Fractional Form for First side from above and we get:
= (2/9) X 100
Solve the above expression and we get:
= 22.22
Therefore, Percentage of First side = 22.22%
Percentage of Second side = Fractional Form for Second side x 100 %
Put value of Fractional Form for Second side from above and we get:
= (3/9) X 100
Solve the above expression and we get:
= 33.33
Therefore, Percentage of First side = 33.33%
Percentage of Third side = Fractional Form for Third side x 100 %
Put value of Fractional Form for Third side from above and we get:
= (4/9) X 100
Solve the above expression and we get:
= 44.44
Therefore, Percentage of Third side = 44.44%
Hence, percentage value of three side of given triangle is 22.22%, 33.33% and 44.44%
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