GCSE Mathematics Problem Solving Shape and Measure Higher Tier.

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GCSE Mathematics Problem Solving Shape and Measure Higher Tier

The triangle below has an area of 14cm². Calculate the possible values for the angle x and the angle y. Use the Sine rule for area to help you find the angle x. (a)The questions suggests their maybe more than one value for x. Use the Sin graph to help you find all the possible values for x. (b) Use your answers in (a) to find the possible values for y.. Helping Hand 7cm8cm 20°

Answer The area of the triangle 30˚ = C

Answer There is more than one possible answer. Use the sin graph to find the other possible value for x – 30 = 150 Therefore: x = 30° or 150°

Answer 20° 8cm 7cm 30° 20° 8cm 7cm 150° or Find y If x is 30˚: y = 180 – 30 – 20 y = 130˚ Find y If x is 150˚: y = 180 – 150– 20 y = 10˚