Question

Equliteral triangel has length 2x-7 cm=x+y-9 cm and breath y +5 cm Find the length of each side of the triangel

Answer 1

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