The answer using pythagorean theorem

h^2 = b^2+p^2

21^2 = 17^2+x^2

441 = 289 + x^2

441-289 = x^2

122 = x^2

square root of 122 is x.

therefore, x= 11.04536102.

 12.32 is the answer.

Step-by-step explanation: Using the pythagorean thereom we can solve this by using the formula A^2+B^2=C^2.

We substitute in the values,

17^2+B^2=21^2.

Now we simplify.

289+B^2=441

We subtract the 289 from both sides,

B^2=152                                                                                                                                                            

Now we use square root to find the answer.

12.32 is the answer.

Hope this helps!

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answer: i'm great at algebra

~coco

step-by-step explanation: