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 ∘

Question

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          ∘

psiha47h · Accepted Answer

The right response is A       90          ∘      According to Legendre&#039;s theorem, &quot;the total of all the angles of a triangle is fixed and equal to two right angles.&quot; 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          ∘      .

The angles of a triangle are in the ratio 1 : 1 : 2. What...

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