INCERT Exemplar
. Two equal sides of a triangle are each 4 cm less than three times the third side. Find the dimensions of the triangle, if it's perimeter is 55cm
Answers
We don't know what the length of the 3rd side is, so we'll call this length "x"
We do know the other 2 side lengths. They are each 3x - 4.
If all three side lengths gives us a perimeter of 55 then
all we have to do is add up all three sides. This gives
us an equation.....
3x - 4 + 3x - 4 + x = 55 Now just solve...
7x - 16 = 55
7x -16 + 16 = 55 + 16
7x = 63
7x/7 = 63/7
x = 9
This value of "x" is the length of the third side. If we
substitute it into the expression for the other two sides, 3x - 4,
we get....
3x - 4
3(9) - 4
27 - 4
23
And to check....
9 + 23 + 23 = 55
55 = 55
have a nice day ahead ...bbye
Step-by-step explanation:
let the side be first side- 3x-4
second side- 3x-4
third side- x
A/Q
3x-4+3x-4+x=55
7x-8=55
7x=55+8
7x=63
x=63/7
x=9
therefore x=9cm
(3*9)-4=27-4=23cm