Respuesta :
Answer:
The value of x is 3 ,
The measure of each side is 55 units .
Step-by-step explanation:
Given as :
The sides of the equilateral Triangle are pq , qr , pr
The measure of side pq = 18 x + 1
The measure of side qr = 24 x - 17
The measure of side pr = 15 x + 10
∵ The triangle is equilateral then all sides are equal
i.e pq = qr = pr
So, 18 x + 1 = 24 x - 17
Or, 24 x - 18 x = 17 + 1
Or, 6 x = 18
∴ x = [tex]\dfrac{18}{6}[/tex]
i.e x = 3
So, Putting the value of x
The measure of side pq = 18 × 3 + 1 = 55 unit
The measure of side qr = 24 × 3 - 17 = 55 unit
The measure of side pr = 15 × 3 + 10 = 55 unit
Hence The value of x is 3 ,
And The measure of each side is 55 units . Answer
Answer:
x = 3.
Measure of each side is 55 units.
Step-by-step explanation:
In an equilateral triangle, the length of all the three sides are equal.
Therefore, Side PQ = QR = PR.
⇒ 18X + 1 = 24X - 17
⇒ 24X - 18X = 18
⇒ 6X = 18
⇒ X = 3
Substituting the value of X, we get:
PQ = 18(3) + 1 = 55 Units.
QR = 24(3) - 17 = 55 units.
PR = 15(3) + 10 = 55 units.
We see the length of all the sides are equal.
