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MAXImum [283]
2 years ago
12

The angles in a triangle are in the ratio 1:2:3 show that this triangle is a right angle traingle

Mathematics
2 answers:
ella [17]2 years ago
7 0

Answer:

Step-by-step explanation:

the angles in a triangle are in the ratio 1:2:3 show that this triangle is a right angle traingle

the value 3 is the hypotenuse, 1 and 2 the catheti, we use Pythagoras

√3²-2² = 2.2

2.24 is not 3 so the triangle is NOT right.

mojhsa [17]2 years ago
3 0

Answer and explanation:

We know the sum of interior angles in a triangle is 180°.

  • 1 : 2 : 3 = 6 (1 + 2 + 3)
  • x : y : z = 180 (x, y and z are the unknown angles)

To get from 6 to 180, we multiply by 30. This means we can find the angles by doing:

  • 1 × 30 = 30°
  • 2 × 30 = 60°
  • 3 × 30 = 90°

The triangle must be right-angled because one of the angles is 90°. We know that the shape is a triangle because 30 + 60 + 90 = 180°.

The ratio is 30 : 60 : 90.

Hope this helps!

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