Question

There are 3 identical circles with centers P,Q and R. Their centers are joined together to form a triangle. What kind of a triangle is ΔPQR?
A) A scalene triangle
B) An isosceles triangle
C) An equilateral triangle
D) (cannot be said as the length of the sides of the triangle are not known)

pls answer this one with explanation

Answer 1

Answer:

$\huge\mathfrak\orange{αɳรωεɾ}$

$\huge\pink{option\:B}$

Answer 2

Answer:

Given- O is the centre of a circle in which an equilateral ΔPQR has been inscribed.

To find out- ∠QOR=?

Solution- The points P, Q & R are on the circumference of the circle since ΔPQR has been inscribed in the circle. Now the chord QR subtends ∠QOR to the centre O and ∠QPR to the circumference at P.

∴ By rule, ∠QOR=2∠QPR.........(i).

Now PQR is an equilateral Δ. Each of its angle is 60

o

. i.e ∠QPR=60

o

.

So, from (i), ∠QOR=2∠QPR=2×60

o

=120

o

.

Ans- Option B.