In PQR, PQ (x 2) cm, PR (5 x) cm and QPR 30 The area of the triangle is A cm 2 a Show that A 1 4(10 3x x 2 ) b Use the method of completing the square, or otherwise, to find the maximum value of A, and give the corresponding value of x ...

a To find the area of triangle PQR we can use the formula Area 12 base height In triangle PQR the ba ...

In PQR, PQ = (x + 2) cm, PR = (5 x) cm and QPR =

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In △PQR, PQ = (x + 2) cm, PR = (5 − x) cm and ∠QPR = 30°. The area of the triangle is A cm².

a. Show that A = 1/4(10 + 3x − x²).

b. Use the method of completing the square, or otherwise, to find the maximum value of A, and give the corresponding value of x.

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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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Authors: Greg Attwood

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In PQR, PQ = (x + 2) cm, PR = (5 x) cm and QPR =

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a To find the area of triangle PQR we can use the formula Area 12 base height In triangle PQR the ba...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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