9514 1404 393
Answer:
32.9
Step-by-step explanation:
The ratio of long side to hypotenuse is the same for all of the triangles in the figure.
AD/AB = AB/AC
AB^2 = AD·AC = 30·36
AB = 6√30 ≈ 32.863
To the nearest tenth, AB ≈ 32.9.
Answer:
B : 
Step-by-step explanation:
If you divide a rhombus using its diagonals, you get 4 right triangles, whose legs are both 1/2 the length of the diagonals.
This means that the legs of one of those 4 triangles have lengths of 2x/2, and 8x/2, so the legs of one of those triangles x and 4x. This makes the length of one side equal to 
. Because all 4 sides are the same length, you multiply this value by 4, and get , which is B.
Answer:
a² + b²
Step-by-step explanation:
(a + b)² - 2ab ← expand parenthesis using FOIL
= a² + 2ab + b² - 2ab ← collect like terms
= a² + b²
Answer:
540 ft^2.
Step-by-step explanation:
The area of the trapezoid = h/2 (10 + 18) = 14h.
By Pythagoras the height h = √(5^2 - 4^2) = 3.
So the area of the 2 trapezoidal bases = 2 * 14*3
= 84 ft^2.
Now we calculate the area of the four lateral rectangular sides:
= 10*12 + 18*12 + 2*5*12
= 456 ft^2.
Total area = 456 + 54
= 540 ft^2.
