2 months ago

Given: ΔABC, AC = BC, AB = 3 CD⊥ AB, CD = 3 Find: AC

Mathematics

2 answers:

Svet_ta [12.7K]2 months ago

4 0

Is it a? Because it makes more sense

Leona [12.6K]2 months ago

4 0

Answer:

3 $\sqrt{5}$ /2

Step-by-step explanation:

Given that AC = BC, this is an isosceles triangle.

Since CD is perpendicular to AB, we find AD = DB = 0.5AB = 3/2

Now considering triangle ACD,[TAG_17]]

we will use Pythagoras' theorem,

AC = $\sqrt{AD^{2} + CD^{2} }$

AC = 3 $\sqrt{5}$ /2

:-)

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