Question

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

Answer 1

Answer:

AC = 2.30

Step-by-step explanation:

Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = $\sqrt{3}$.

Since CD ⊥ AB, thus CD divides AB into two equal parts.

From ΔACD, applying the Pythagoras theorem;

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

      = $1.5^{2}$ + $(\sqrt{3}) ^{2}$

      = 2.25 + 3

      = 5.25

AC = $\sqrt{5.25}$

     = 2.2913

∴ AC = 2.30