Respuesta :

Answer:

a = 5.3

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2 + 6^2 = 8^2

a^2 +36 = 64

a^2 = 64-32

a^2 =28

Taking the square root of each side

sqrt(a^2)  = sqrt(28)

a=5.29150

To the nearest tenth

a = 5.3

The length of the third side of the right triangle is; 5.3

What is the length of the third side of the triangle?

The triangle given is a right triangle and hence, the length of the third side can be evaluated by using the Pythagoras theorem as follows;

a² = 8² -6²

a² = 64- 36

a² = 28

a = √28

a = 5.3

Read more on Pythagoras theorem;

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