Hello!
To find the hypotenuse of a right triangle, we use the formula: a² + b² = c². In this formula, which is also known as the Pythagorean Theorem, a and b are the legs of the right triangle, and c is the hypotenuse, which is the value we are trying to find.
The value of leg a is 9 centimeters, and value of leg b is 12 centimeters. With those values, we can substitute it into our equation and solve.
(9)² + (12)² = c² (simplify the exponent)
81 + 144 = c² (simplify)
225 = c² (take the square root of both sides)
c = 15
Therefore, the length of the hypotenuse is 15 centimeters.
Answer:
Perimeter = 18.7 units
Area = 13.5 units²
Step-by-step explanation:
Perimeter of ADEC = AD + DE + EC + AC
Length of AD = 3 units
By applying Pythagoras theorem in ΔDBE,
DE² = DB² + BE²
DE² = 3² + 3²
DE = √18
DE = 4.24 units
Length of EC = 3 units
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = 6² + 6²
AC = √72
AC = 8.49 units
Perimeter of ADEC = 3 + 4.24 + 3 + 8.49
= 18.73 units
≈ 18.7 units
Area of ADEC = Area of ΔABC - Area of ΔBDE
Area of ΔABC = 
= 
= 18 units²
Area of ΔBDE = 
= 
= 4.5 units²
Area of ADEC = 18 - 4.5
= 13.5 units²
Idk what deviation set is but im guessing B because each term went up by 1
Answer:
7) 10^(3/2)
8) 2^(1/6)
9) 2^(5/4)
10) 5^(5/4)
Step-by-step explanation:
7) (√10)^3 = 10^(3/2)
8) 6 root 2 = 2^(1/6)
9) (4 root 2)^5 = 2^(5/4)
10) (4 root 5)^5 = 5^(5/4)