Problema Solution

A triangle space between three streets has measurement as shown. 66m,130m,112m. How much is needed to go around space? How much sod will be needed to cover space?

Answer provided by our tutors

A triangle space between three streets has measurement as given  66m,130m,112m

we have to find how much is needed to go around apace.

so we have to find the perimeter of triangle,as perimeter has three sides

so perimeter of triangle space is= 66m+130m+112m=308m

so 308m needed to go around triangle space.

now we have to find how much sod is needed to cover triangle space.

so we need to find area of tringle space

area of triangular region =√s(s-a)(s-b)(s-c)     ..(1)          whole square root

now remeber a,b,c represent  three sides  of triangle

so as given three sides of triangle are 66m,130m,112m

so a=66m,b=130m,c=112m

as s=perimeter/2

 s=308/2

s=154m

putting values in (1) we ger

s=√154(154-66)(154-130)(154-112)                whole square root

s=√154(88)(24)(42)                                       whole square root

s=√13660416                                                

s=3696sq.m                                     square root of 13660416 is 3696

hence 3696sq.m sod needed to cover triangular space.