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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Suppose that Y takes on the values {0, 1, 2, 3}, each with probability 1/4. Take a random sample of 5 numbers from this distribu

arsen [322]

Answer:

The total number of samples that give this outcome is 5.

Step-by-step explanation:

Since Y takes values in {0,1,2,3}, For us to have that $Y_1+Y_2+Y_3+Y_4+Y_5=1$ implies that all of them are zero but one. The one that is non-zero necessarily is equal to 1. To calculate the number of samples that give this outcome is equivalent to counting the total number of ways in which we can pick the i-index such that $Y_i=1$ . Note that in this case we can either choose Y1 to be 1, Y2 to be 1 and so on. So, the total number of samples that give this outcome is 5.