I need help with these two questions please

Answer:

1) Option (b) 32km

2) Option (c) 17

Step-by-step explanation:

According to Pythagoras Theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

1) Perpendicular=?

Base=24km

Hypotenuse=40km

40²=P²+24²

1600=P²+576

1600-576=P²

1024=P²

√1024=P

32=P

2) Perpendicular=15

Base=8

Hypotenuse=?

H²=15²+8²

H²=225+64

H²=289

H=√289

H=17

Is x2+8x+16 a perfect square?

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