Question

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

Answer 1

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.

Answer 2

`\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`