Question

Given G(4,8) and H(9,-2). Find the length of GH.

Leg a =
Leg b =
Pythagoras' Theorem:
A. GH = 7, Leg a = 6, Leg b = 10
B. GH = 10, Leg a = 7, Leg b = 6
C. GH = 10, Leg a = 8, Leg b = 2
D. GH = 6, Leg a = 10, Leg b = 7

Answer 1

Option C). To find the length of GH, we can use the Pythagorean theorem. The length of GH is approximately 11.18 units.

Step-by-step explanation:

To find the length of GH, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). So in this case, we have GH as the hypotenuse and a and b as the legs. Let's calculate:

a = 9 - 4 = 5

b = -2 - 8 = -10

GH = √(a² + b²) = √(5² + (-10)²) = √(25 + 100) = √125 = 11.18

Therefore, the length of GH is approximately 11.18 units.