What is the area of 23mtrs x 25mtrs x 10mtrs?

Answer 1

Using the sine rule we can work out the value of one of the angles, and then we can use that to get the area. If we label the sides a, b and c then the angles opposite the sides will be A, B and C respectively. We'll label the longest side a (25m), then the next longest side b (23m) and side c will be 10m The sine rule tells us that a2 = b2 + c2 - 2absinA. Substituting th evalues we know we get * 252 = 232 + 102 - 2(23)(10)sinA * 625 = 529 + 100 - 460sinA * 625 - 629 = -460sinA * -4 = -460sinA * 4/460 = sinA * 1/115 = sinA * A = sin-1 1/115 * A = 89.5 This then allows us to work out the other angles and the area... and these are * Angle A = 89.51 * Angle B = 23.58 * Angle C = 66.91 Area = 115 Square Metres