已知△ABC∽△A′B′C′,AD和A′D′是它们的对应角平分线,且AD=8 cm,A′D′=3 cm,则△ABC与△A′B′C′对应高的比为_.
问题描述:
已知△ABC∽△A′B′C′,AD和A′D′是它们的对应角平分线,且AD=8 cm,A′D′=3 cm,则△ABC与△A′B′C′对应高的比为______.
答
∵△ABC∽△A′B′C′,AD和A′D′是它们的对应角平分线,
∴AD:A′D′=8:3,
∴△ABC与△A′B′C′对应高的比为8:3.