Given: δавс, m∠acb = 90° cd ⊥ ab , m∠acd = 60° bc = 6 cm find cd, area of δabc

CD = 3√3 cm

Area  ΔABC =18cm²

Step-by-step explanation:

the angle  < ACB =90°

<ACD =60° therefore <BCD =30°

cos 30°= x/6

x= 3√3 cm

Area  ΔABC =1/2×base×height

the  ΔABC is a 45 45 90 triangle

: AC =6√3 cm

ΔABC = 1/2×6√3×6

ΔABC =18√3 cm²

215.92 dollars is the answer

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.