TRIANGLES 1

The two sides of an equilateral triangle are (4x-3) and (18+x). If the third side is e²-11, find the value of e.

Solution

All sides of an equilateral triangle are equal.

Equating the two sides

4x-3 = 18+x

4x-x -3 = 18        [Taking x on the left side]

4x-x = 18 + 3       [Taking 3 on the right side]

3x = 21       

3x = 21       [Dividing by 3 on both sides]

3      3

x = 7.

Finding the side; we use either (4x-3) or (18+x).

= 4x-3

= 4(7) – 3

= 28 – 3

= 25

Hence, each side of the triangle is 25

To find e we equate 25 with e²-11.

e²-11 = 25

e²  = 25 + 11

e²  = 36

√e²  = √36  put under root sign both sides

e = √36 

e = 6 

Hence e=6   

TRY THIS………………..

The two sides of an equilateral triangle are (3x-10) and (50-2x). If the third side is m²+147, find the value of m.