C is the correct answer. An equilateral triangle is a type of triangle.
        
             
        
        
        
Answer:
Here is the full proof:
AC bisects ∠BCD      Given
∠CAB ≅ ∠CAD          Definition of angle bisector
DC ⊥ AD                    Given
∠ADC = 90°               Definition of perpendicular lines
BC ⊥ AB                    Given
∠ABC = 90°               Definition of perpendicular lines
∠ADC ≅ ∠ABC          Right angles are congruent
AC = AC                     Reflexive property
ΔCAB ≅ ΔCAD          SAA
BC = DC                     CPCTC          
 
        
             
        
        
        
Answer:
The area will be increased by 72 feet.
Step-by-step explanation:
4 x 6 = 24
Now we have to double those lengths.
We know that 4 x 2 is 8 and 6 x 2 is 12.
So the new equation would be: 8 x 12 = 96
Now we take the original area and subtract it by the new area.
96 - 24 = 72
Hope this helps:)
 
        
             
        
        
        
Answer:
CD ≈ 26.0 cm
Step-by-step explanation:
using the sine ratio in right triangle ABD
sin35° =  =
 =  =
 =  ( multiply both sides by BD )
 ( multiply both sides by BD )
BD × sin35° = 12 ( divide both sides by sin35° )
BD =  ≈ 20.92 cm
 ≈ 20.92 cm
using the sine rule in Δ BCD
 =
 =  , that is
 , that is
 =
 =  ( cross- multiply )
 ( cross- multiply )
CD × sin52° = 20.92 × sin102° ( divide both sides by sin52° )
CD =  ≈ 26.0 cm ( to 3 significant figures )
 ≈ 26.0 cm ( to 3 significant figures )