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MATHEMATICS

JAMB 2023 - Question 25

Mathematics 2023 JAMB Past Questions - Question 25: In the figure below, FD1/AC. The area of AEF=6sq.cm, AE=3cm BC=3cm, CD=5cm,

In the figure below, FD1/AC. The area of AEF=6sq.cm, AE=3cm BC=3cm, CD=5cm,

A: 5

B: 6

C: 2√13

D: 4√5

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Correct Answer

Explanation

Area of triangle AEF = 6sq. cmarea of triangle = 1/2bh (Line DX makes right angles with the parallel lines)6 = 1/2 x 3 x h6 = 3h3h = 12/3h = 4 = DXFrom D, C x D, CX2 = 52- 42= 25 - 16 = 9Cx = 3. From angle B x D, Bx = 6(i.e. 3 + 3)BD2 = 42 + 62= 16 + 36 = 52BD = √4×13= 2√ 13