问题
填空题
已知△ABC∽△A′B′C′,且AB:A′B′=3:4,则△ABC与△A′B′C′的面积的比为______.
答案
∵△ABC∽△A′B′C′且AB:A′B′=3:4,
∴
=(S△ABC S△A′B′C′
)2=3 4
.9 16
故答案为:9:16.
已知△ABC∽△A′B′C′,且AB:A′B′=3:4,则△ABC与△A′B′C′的面积的比为______.
∵△ABC∽△A′B′C′且AB:A′B′=3:4,
∴
=(S△ABC S△A′B′C′
)2=3 4
.9 16
故答案为:9:16.