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Question

Which one of the following is not a right angle triangle?

The correct answer is

2 cm, 3 cm, 4 cm

By the converse of the Pythagorean theorem, \(2^2 + 3^2 = 4 + 9 = 13 \neq 4^2 = 16\), so 2 cm, 3 cm, 4 cm does not form a right triangle, while the other three sets are multiples of the 3-4-5 triple.

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Important Questions from Triangles

  1. What is the circumcenter of the triangle ABC?

  2. What is the centroid of the triangle ABC?

  3. What is the foot of the altitude from the vertex A of the triangle ABC?

  4. In ΔABC, D is a point on BC such that ∠ADB = 2∠DAC, ∠BAC = 70° and ∠B = 56°. What is the measure of ∠ADC?

  5. In ΔABC, ∠A = 66° and ∠B = 50 °. If the bisectors of ∠B and ∠C meet at P, then ∠BPC – ∠PCA = ?

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