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In ∆ACB, right-angled at C, AC = 5cm, BC = 12cm, <B = 25°.
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 ?
- 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.
_________________________
All done :)
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