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Lyrx [107]
3 years ago
12

The angles in a triangle are in the ratio 1:2:3 a) Show that the triangle is a right -angled triangle b) The hypotenuse of the t

riangle is 19cm long. Calculate the length of the shortest side in the triangle
Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0

Answer:

8.5 cm

Step-by-step explanation:

Angles of the triangle:

  • x+2x+3x= 180
  • 6x= 180
  • x= 30
  • 30°, 60° and 90°

Right triangle as it has 90° angle

Sides are a, b and 19 cm

  • sin 30°= a/19 ⇒ a= 19 sin 30°= 19*0.5= 8.5 cm  = shortest side
  • sin 60°= b/19 ⇒ b= 19 sin 60°= 19*0.866= 16.45 cm
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Answer:

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This skill will come in handy when working with word problems or real life situations. Pay close attention to the "key words" that represent mathematical operations.

You are probably very used to translating words into numerical expressions. Think about this...

We are used to seeing the words, plus, sum, difference, minus, product ...

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3 years ago
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Gnom [1K]

Answer:

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Answer:

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Step-by-step explanation:

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