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2 years ago

Work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)

Mathematics

1 answer:

aleksandrvk [35]2 years ago

7 0

Answer:

x = 2.41

Step-by-step explanation:

Area formula:

A = 1/2bh

The height is:

h = (x + 2)sin 45° = √2(x + 2)/2

Substitute the area value an set an equation:

4√2 = (2x - 3)√2(x + 2)/2
(2x - 3)(x + 2) = 8
2x² + x - 6 = 8
2x² + x - 14 = 0
D = 1 + 4*2*14 = 113
x = (-1 + √113)/4 = 2.41 (rounded)

Note. the second root ignored as negative

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natka813 [3]

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I will proceed to resolve the problem indicated in the attached figure.

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