Respuesta :

Answer:

I dont mind :D These were my favorite! They are actually really simple. Dont overthink it. It even gave you a hint!

It says a^2 + b^2 = c^2

We can substitute what we do have which is a = 10 and c = 15

10^2 + b^2 = 15^2

Now we square it

100 + b^2 = 225

Next, all we have to do is subtract the 100 from our answer so 225-100 which is 125, so b has to be 125!!! Because 125 + 100 is 225 :D

Step-by-step explanation:

Given:

  • Hypotenuse ( c )= 15
  • Side 1 ( a )= 10

To find:

The length of "b" using Pythagoras Theorem.

Solution:

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

[tex] {10}^{2} + {b}^{2} = {15}^{2} [/tex]

[tex]b = {15}^{2} - {10}^{2} [/tex]

[tex] {b}^{2} = 125[/tex]

[tex]b = \sqrt{125} [/tex]

[tex]b = 11.18033989[/tex]

[tex]b = 11.2 \: (nearest \: tenth)[/tex]

Therefore, the length of "b" is 11.2

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