1999 - WAEC Mathematics Past Questions and Answers - page 5
41
The sides of a right angle triangle in ascending order of magnitude are 8cm, (x-2)cm and x cm. Find x
A
16
B
17
C
34
D
90
correct option: b
\(8^2 + (x - 2)^2 = x^2\
64 + x^2 - 4x + 4 = x^{2}\
x^2 - 4x + 68 = x^2\
-4x = -68\
-x = \frac{-68}{4} = 17\)
Users' Answers & Comments64 + x^2 - 4x + 4 = x^{2}\
x^2 - 4x + 68 = x^2\
-4x = -68\
-x = \frac{-68}{4} = 17\)
42
In the diagram, CDE is a triangle, ABEF is cyclic quadrilateral, AB||CD, ∠BAF = 65o and ∠AFE = 85o calculate ∠CDE
A
20o
B
30o
C
50o
D
65o
correct option: b
Users' Answers & Comments43
In the diagram above, RST is a tangent to circle VSU center O ∠SVU = 50° and UV is a diameter. Calculate ∠RSV.
A
90°
B
50°
C
45°
D
40°
correct option: d
< VSU = 90° (angle in a semi-circle)
\(\therefore\) < SUV = 180° - 90° - 50°
= 40°
< RSV = 40° (angle which chord makes tangent = angle in alternate segment)