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BECE Mathematics 2010 Paper
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© africaexams.com
Question : 31
Total: 40
X
Y
Z
is a right-angled triangle with length of sides as shown.
Which of the following equations gives the value of
z
2
?
z
2
=
(
x
2
+
y
2
)
z
2
=
(
x
−
y
)
z
2
=
(
y
2
−
y
2
)
z
2
=
(
x
2
−
y
2
)
Validate
Solution:
From pythagoras theorem
The longest side (side opposite/facing the right-angle) is the hypotenuse (c) From the triangle, the side facing the right-angle is
y
, hence
y
is the hypotenuse (c)
z
2
+
x
2
=
y
2
z
2
=
y
2
−
x
2
© africaexams.com
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