Question

Δ PQR is such that ∠P = ∠Q = ∠R = 60° which of the following is true? *



(a) Δ PQR is equilateral.

(b) Δ PQR is acute angled.

(c) Both [a] and [b]

(d) Neither [a] nor [b]

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Answer 1

Answer:

(c) Both (a) and (b)

Step-by-step explanation:

An equilateral triangle has all sides equal, whch is in this case clearly given.

An acute triangle has all angles measuring less than 90 degrees, which is also clearly given in this case.

Answer 2

Δ PQR is such that ∠P = ∠Q = ∠R = 60° then Δ PQR is equilateral and Δ PQR is acute angled

Given : Δ PQR is such that ∠P = ∠Q = ∠R = 60°

To find : which of the following is true

(a) Δ PQR is equilateral.

(b) Δ PQR is acute angled.

(c) Both [a] and [b]

(d) Neither [a] nor [b]

Solution :

Step 1 of 3 :

Check whether Δ PQR is equilateral

Here it is given that Δ PQR is such that ∠P = ∠Q = ∠R = 60°

Since every angle of Δ PQR are equal in measure

So Δ PQR is equilateral

Step 2 of 3 :

Check whether Δ PQR is acute angled

Here it is given that Δ PQR is such that ∠P = ∠Q = ∠R = 60°

Since in ΔPQR all the angles are acute

So Δ PQR is acute angled

Step 3 of 3 :

Choose the correct option

Hence the correct option is (c) Both [a] and [b]

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