Which set of numbers could represent the lengths of the sides of a triangle? A. {3,4,8} B. {8,11,19} C. {11,5,5} D. {19,16,20}

2 answers:

7 0

D

To form a triangle, the sum of any two sides must be greater than the third side. And for D, 19+16 is greater than 20

choli [55]3 years ago

4 0

Answer:

19, 16, 20

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Aka the highest number - the next highest number = lowest possible number.

3+4 is not greater than 8.

8 + 11 is not greater than 19.

5 + 5 is not greater than 11.

16+19 is greater than 20.

19+20 is greater than 16.

16+ 20 is greater than 19.

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Read 2 more answers

Triangle A B C is shown. Angle A C B is a right angle. The length of the hypotenuse is 20.

kherson [118]

Answer:

The length of BC is needed because it is the side opposite ∠A.

Step-by-step explanation:

Given the right angles triangle as shown in the attachment, we can get sin(A) without using Pythagoras theorem. Instead we will use SOH CAH TOA trigonometry identity.

According to SOH:

Sin(A) = Opposite/Hypotenuse

Sin(A) = |BC|/|AB|

Opposite side of the triangle is the side facing ∠A.

Based on the formula, we will need to get the opposite side of the triangle which is length BC for us to be able to determine sinA since the hypotenuse is given.