STARTER x x In each triangle, find the length of the side marked x.

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Objective - To use basic trigonometry to solve right triangles.
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Presentation transcript:

STARTER x x In each triangle, find the length of the side marked x. 55 mm x 40 mm 164 cm x 230 cm In each triangle, find the length of the side marked x. If required, round your answers to 1d.p. 13 mm x 5 mm 144 cm x 60 cm © online calculator

STARTER x x x x 230 cm 164 cm 40 mm 55 mm 13 mm 60 cm 5 mm 144 cm 68mm © online calculator

Using Trigonometric Ratios Introducing the Sine Ratio Trigonometry Using Trigonometric Ratios Introducing the Sine Ratio © online calculator

Right-angled triangles A right-angled triangle contains a right angle! The side opposite the right angle is called the hypotenuse. This is the longest side. © online calculator

The opposite and adjacent sides The side opposite the given angle is named the opposite side. x The side next to the given angle (that is not the hypotenuse) is named the adjacent side. © online calculator

Name all the sides from the given angle, x 2). 1). 3). 4). © online calculator

The sine ratio The ratio of : the length of the opposite side the length of the hypotenuse is called the sine ratio. sin x = opposite hypotenuse O P S I T E H Y P O T E N U S x © online calculator

= 6 × 0.5 = 3 cm a In this triangle, opposite sin 30° = hypotenuse a = So, a = 6 × Sin 30 = 6 × 0.5 = 3 cm © online calculator

53° 28 cm Try this: x © online calculator

32° 42 cm Try this: x © online calculator

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