Math, asked by Risingstar77, 2 months ago

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Answered by HooriyaParvez
2

Answer:

this is ur answer

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Answered by srikanthn711
16

\large \mathfrak \red { ✤\: Given \:✤ }

In ∆ACB, right-angled at C, AC = 5cm, BC = 12cm, <B = 25°.

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\large \mathfrak \red {✤ \: To~ find\: ✤}

We have to find the following :-

  • Name the type of triangle.
  • Find the length of AB.
  • Find the value of x.
  • How many acute angles are there ?
  • Is there any obtuse angle in the figure ?

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\large \mathfrak \red {✤ \: Solution \: ✤}

  • Name the type of triangle.

It is a right - angled triangle since one of the angles in the triangle is a right angle [90°].

  • Find the length of AB.

AC² + BC² = AB² [By pythagoras theorem]

(5)² + (12)² = AB²

25 + 144 = AB²

169 = AB

AB = 13cm

  • Find the value of x.

<A + <B + <C = 180° [Angle sum property]

x + 25° + 90° = 180°

x + 115° = 180°

x = 180° - 115°

x = 65°

  • How many acute angles are there ?

Acute angles are the angles with measures below 90° and above 0°. So, there are two acute angles that is, 65° and 25°.

  • Is there any obtuse angle in the figure ?

Obtuse angles are angles with measures below 180° and above 90°. So, there are no obtuse angles in the figure.

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All done :)

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