Question

PQR is an equilateral triangle with coordinates Q(0,6) , R(0,-6) . Find the coordinates of the vertex P.

Answer 1

Answer:

coordinate of the vertex p is (6.93,0)

Step-by-step explanation:

coordinate of the vertex p is (6.93,0)

Step-by-step explanation:

From the attached figure, the distance between Q and R is 4 + 4 =8

Hence, QR = 8

Since, it is an equilateral triangle. Hence, all the sides are equal.

Therefore, PQ = PR = QR = 8

Now, vertex p is on the x axis. Hence, the y coordinate is 0.

Let the vertex p is (x,0)

Thus, we have

PQ = 8

Thus, coordinate of the vertex p is (6.93,0)

Answer 2

Answer:

In the given figure, PQR is an equilateral triangle with coordinates of Q and R as (-2,0) and (2,0) respectively. Find the coordinates of the vertex P.

image

created

Apr '19

last reply

Apr '19

1

reply

Veerendra

Apr '19

from the given figure

QR=2 + 2 = 4

So, PQ=QR = RP = 4

Now, QR = 4

[∵ PQR is an equilateral triangle]

In right angled ∆OPR,

image