9514 1404 393
Answer:
C. 36√3 square units
Step-by-step explanation:
Your knowledge of special triangles tells you that height CD is ...
CD = 6√3
so the area is ...
A = 1/2bh
A = 1/2(12)(6√3) = 36√3 . . . . square units
_____
<em>Additional comment</em>
The 30°-60°-90° right triangle that is half an equilateral triangle has a short side equal to half the length of the long side. The Pythagorean theorem tells you that the middle-length side is √(2²-1²) = √3 times the shortest side. That is, the side length ratios in this "special" triangle are ...
1 : √3 : 2
This means the length DB is 12/2 = 6, and the length CD is 6√3.
The original number to the nearest tenth is 23.8
Answer:
C. - X = 5 units
Step-by-step explanation:
We need to solve for x from the given figure.
In ΔADB and ΔCDB
∠ABD=∠BCD (Corresponding angle of two right triangle)
∠ADB=∠CDB (Each 90°)
∴ ΔADB ≈ ΔCDB By AA similarity
If two triangles are similar then ratio of their corresponding height are same.
Substitute the value of side into the expression
Cross multiply and solve for x
x can't be negative because side of triangle is positive.
Hence, The value of x is 5 units.
Answer:
x = 15 and y = 10
Step-by-step explanation:
It is assumed that 'x' and 'y' are declared as '10' and '15' respectively. Then following the mystery(x, y) function which is pass 10 and 15 as parameter. Then we can follow the logic of the mystery function.
First, temp is assigned to one; that is temp = 10
Secondly, one is assigned to two; that is one = 15
Thirdly, two is assigned to temp; that is two = 10.
Since x and y is same as one and two; we say:
x = one = 15 and
y = two = 10.