Question

Find the value of x in the triangle shown below.

Answer 1

Answer:

x=8

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + x^2 = 10^2

36 + x^2 = 100

Subtract 36 from each side

36-36 +x^2 = 100-36

x^2 = 64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x = 8

Answer 2

Answer:

x = 8

Step-by-step explanation:

According to Pythagorean Theorem

$AB {}^{2} + BC {}^{2} = AC {}^{2}$

here

$AB = x \\ BC = 6 \\ AC = 10$

Now,

${x}^{2} + {6}^{2} = 10 {}^{2} \\ {x}^{2} = {10}^{2} - {6}^{2} \\ x {}^{2} = 100 - 36 \\ {x}^{2} = 64 \\ x = \sqrt{64} \\ x = 8$

AB = x = 8