Question

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

Answer 1

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

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

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

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

$\qquad \sf  \dashrightarrow \: b² = \sqrt{40² - 24²}$

$\qquad \sf  \dashrightarrow \: b= \sqrt{1600-576}$

${\qquad \sf  \dashrightarrow \: b= \sqrt{1024}}$

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

Answer 2

Given:

• hypotenuse= 40
• side 1= 24

To find:

The length of "b"

Solution:

${c}^{2} = {a}^{2} - {b}^{2}$

${b}^{2} = {40}^{2} - {24}^{2}$

$b = 1024$

$b = \sqrt{1024}$

$b = 32$

Hence, the length of "b" is 32.