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laiz [17]
2 years ago
6

Find the value of x in the triangle shown below.

Mathematics
2 answers:
DIA [1.3K]2 years ago
7 0

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

Ulleksa [173]2 years ago
6 0

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

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