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21 votes
Does someone mind helping me with this problem? Thank you!

Does someone mind helping me with this problem? Thank you!-example-1
User Imthath
by
4.2k points

2 Answers

5 votes

Given:

  • hypotenuse= 40
  • side 1= 24

To find:

The length of "b"

Solution:


{c}^(2) = {a}^(2) - {b}^(2)


{b}^(2) = {40}^(2) - {24}^(2)


b = 1024


b = √(1024)


b = 32

Hence, the length of "b" is 32.

User Ahmed Ilyas
by
4.4k points
1 vote


\qquad\qquad\huge\underline{{\sf Answer}}

Let's calculate the value of c using Pythagoras theorem ~


\qquad \sf  \dashrightarrow \: c {}^(2) = a {}^(2) + {b}^(2)


\qquad \sf  \dashrightarrow \: 40 {}^(2) = {24}^(2) + {b}^(2)


\qquad \sf  \dashrightarrow \: b² = √(40² - 24²)


\qquad \sf  \dashrightarrow \: b= √(1600-576)


{\qquad \sf  \dashrightarrow \: b= √(1024)}


\qquad \sf  \dashrightarrow \: b = 32 \: units

User Xeye
by
4.0k points