The angles of a triangle are in the ratio 1 : 1 : 2. What is the largest angle in the triangle? A)90^@ B)135^@ C)45^@ D)150^@

Kole Meyers

Kole Meyers

Answered question

2023-03-11

The angles of a triangle are in the ratio 1 : 1 : 2. What is the largest angle in the triangle?
A ) 90 B ) 135 C ) 45 D ) 150

Answer & Explanation

psiha47h

psiha47h

Beginner2023-03-12Added 2 answers

The right response is A 90
According to Legendre's theorem, "the total of all the angles of a triangle is fixed and equal to two right angles."
Let the angles be x, x and 2x.
x + x + 2 x = 180 4 x = 180 x = 45
∴ The angles are 45 , 45  and  90 .
∴ The largest angle is 90 .

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