(ii) In the figure, ZABC = 90°, AB = 3x, BC = 4x and AC = 30, then
(a) Using Pythagoras theorem, determine the value of x.
(b) Find the length of segments AB and BC.
(c) Find A (A ABC).
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Step-by-step explanation:
∠ABC = 90°, AB = 3x, BC = 4x and AC = 30, then
AB = base
BC = perpendicular
AC = Hypotenuse
Using Pythagoras theorem, determine the value of x.
H² = P² + B ²
30² = 4x² + 3x²
900 = 16x² + 9 x²
900 = 25 x²
900 / 25 = x²
36 = x²
√36 = x
6 = x
the length of segments AB and BC.
AB = 3x
= 3 × 6
= 18
BC= 4x
= 4 × 6
= 24
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