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The area is 960mm2To find the other angle you use pythagoras' theorem.682=602+x24624=3600+x2x2=1024x= 32The area of a triangle is half length by height:32/2 is 16. 16x60 = 960mm2
By factorising:x + 9 = x2x2 - x - 9 = 0(x - 3.54)(x + 2.54) = 0x = 3.54, x = -2.54By the quadratic formula:x = -(-1) ± √[(-1)2 - 4(1)(-9)]/2(1)x = 1 ± √(1 - -36)/2x = 1 ± √37/2x = 0.5 ± 6.08/2x = 0.5 + 3.04 = 3.54, x = 0.5 - 3.04 = -2.54The same solutions are given both ways, which confirms the result.