Answer:
First Side = 21 units
Second side = 21 units
Third side = 21 units
Step-by-step explanation:
Here, the three sides of the equilateral triangle are:
(2 x-7) cm , ( x + y - 9) cm and ( y + 5) cm
Now, a triangle is said to be an EQUILATERAL TRIANGLE if all three sides of the triangles are equal in the measure.
⇒ For the given triangle to be equilateral:
(2 x-7) = ( x + y - 9) = ( y + 5)
Consider third and second term, we get:
x + y -9 = y + 5
or, x - 9 = 5
⇒ x = 9 + 5 = 12, or x = 14
Also,from first and second term :
(2 x-7) = ( x + y - 9)
⇒ 2(14) - 7 = (14 + y) - 9
⇒ 28 - 7 -14 + 9 = y
or, y = 16
Hence, First Side = 2 x - 7 = 2(14) - 7 = 21 units
Second side = x + y - 9 = 14+ 16 - 9 = 21 units
Third side = y + 5 = 16 + 5 = 21 units
