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

First Side = 21 units

Second side = 21 units

Third side = 21 units

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