Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.
a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13
b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7
c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13
Answer:$9.75
Step-by-step explanation:
Answer:
11.7 cm
Step-by-step explanation:
10^2 + 6^2 = c^2
100+36= 136
find the square root of 136 and you get 11.7 cm
Answer: (x - 1)² + (y - 1)² = 25
<u>Step-by-step explanation:</u>
The formula for a circle is (x - h)² + (y - k)² = r² where
- (h, k) is the center
- r is the radius
Typically, you are given the center and the radius. In this problem, you are given (x, y) so you must plug that into the equation to find r².
Given: (x, y) = (-3, 4) and (h, k) = (1, 1)
(-3 - 1)² + (4 - 1)² = r²
(-4)² + (3)² = r²
16 + 9 = r²
25 = r²
Next, input (h, k) and r² into the equation
(x - 1)² + (y - 1)² = 25
