(20點) F.2 Maths Question (Pythagors' Theorem)

7
(a)
h
= √(17^2-8^2)
= √(289-64)
= √225
=15
(b)
the area of triangle ABC
=16*15/2
=120 cm^2
8
Since 17^2=8^2+15^2
BC^2=AB^2+AC^2
So triangle ABC is a right-angled triangle

angle A is a right angle
the area of triangle ABC
=8*15/2
=60 cm^2
9
(a)
p=√(12^2+4^2)
= √(144+16)

= √160
=12.6 (correct to 3 significant figures)
q=√(p^2+3^2)
= √(160+9)
= √169
=13
10
(a)
x
=√10^2+6^2)
= √(100+36)
= √136
=11.7 (correct to 3 significant figures)
y
=√x^2-8^2)
= √(136-64)

= √72
=8.49 (correct to 3 significant figures)