Triangle on the right is 30 60 90 triangle
The ratio of short leg : long leg : hypotenuse = a : a√3 : 2a
Given long leg = 8√2
so short leg = 8√2 / √3 = 8√2 *√3 / √3 *√3 = 8√6/ 3
Hypo = 2 (8√6/ 3) = 16√6/ 3
The triangle on the left is 45 45 90 triangle
Ratio of leg : hypotenuse = a : a√2
The hypotenuse of triangle on the right is the leg of triangle on the left
so a = 16√6/ 3
Hypotenuse, x = (16√6/ 3) √2 = 16√12 / 3 = 32√3 / 3
Answer is B.
32√3 / 3
Answer: b
Step-by-step explanation: divide and round
Answer:
Step-by-step explanation:
ΔADB is a right angled triangle. So, use Pythagorean theorem.
Altitude² = hypotenuse² - base²
= (2√5)² - (3√2)²
= 2²* (√5)² - 3²*(√2)² = 4*5 - 9*2 = 20 - 18 = 2
Altitude = √2
Base of ΔABC = 3√2 + √2 = 4√2 cm
Area = 

Answer:
Step-by-step explanation:
when x=4
area=4²+14×4+c=16+56+c=72+c
8²=64
9²=81
72+c=81
c=81-72=9
area=81 units²
length of each side=√81=9 units