Two equal sides of a triangle are each 5 metres less than twice the third side. If the
perimeter of the triangle is 55 metres, find the lengths of its sides.
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Answer:
Sides of triangle are 21 m, 21m and 13 m.
Step-by-step explanation:
Given :-
Perimeter of triangle is 55 m.
To find :-
Length of its side.
Solution :-
Let, Measure of third side be x m.
And, Measure of other two equal sides be 2x - 5 m. [Equal sides of triangle are each 5 m less than twice the third side]
We know,
Perimeter of triangle = Sum of all sides.
So, Put the values :
Perimeter = 2x - 5 + 2x - 5 + x
55 = 2x - 5 + 2x - 5 + x
55 = 5x - 10
55 + 10 = 5x
65 = 5x
65/5 = x
x = 13
Now,
Sides :-
Two equal sides = 2x - 5 = 2×13 - 5 = 21. Thus, Measure of two equal side is 21 m.
Third side = x = 13. So, Measure of third side is 13 m.
Therefore,
Sides of triangle are 21 m, 21 m and 13 m.
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