Respuesta :

LukeG1

Answer:

3.93 cm

Step-by-step explanation:

Use the Pythagorean Theorem to solve

[tex]a^{2} + b^{2} = c^{2}[/tex]

It is known that the missing value is the leg

Substitute in 5.3 for leg 1 and 6.6 for the hypotenuse

[tex]5.3^{2} + b^{2} = 6.6^{2}[/tex]

Solve exponents

[tex]28.09 + b^{2} = 43.56[/tex]

Subtract 28.09 from both sides of the equation

[tex]b^{2} = 15.47[/tex]

Simplify

b = 3.93 cm

3.93 cm

Hope this helps :)

Wolfyy

We are trying to find the unknown leg of the triangle and we can use the formula a^2 + b^2 = c^2.

5.3^2 + b^2 = 6.6^2

28.09 + b^2 = 43.56

28.09 - 28.09 + b^2 = 43.56 - 28.09

b^2 = 15.47

√b^2 = √15.47

b = 3,9331...

Lets round to the bearest hundreth.

3.9331... ≈ 3.93

Therefore, the length of the unknown leg is approximately 3.93cm.

Best of Luck!

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