Question

i need help here pls

Answer 1

STEPS

24^2 + b^2 = 40^2

576 + b^2 = 1600

b^2 = 1600 - 576

b^2 = 1024

b = √1024

b = 32

ANSWER

b = 32

Answer 2

Answer:

Solution :

The Pythagoras theorem says if you have right triangle, then relationship between the three sides is the sum of the square of each leg is the hypotenuse squared. So,

$\longrightarrow{\sf{{a}^{2} + {b}^{2} = {c}^{2}}}$

Where a and b are legs and c is the hypotenuse. In this case.

• ➛ a = ?
• ➛™b = 24
• ➛ c = 40

This means that the equation will be,

$\implies{\sf{{(a)}^{2} + {(24)}^{2} = {(40)}^{2}}}$

$\implies{\sf{{(a)}^{2} + {(24 \times 24)} = {(40 \times 40)}}}$

$\implies{\sf{{(a)}^{2} + {(576)} = {(1600)}}}$

Now, solving for a² to find itself.

Taking the 576 to 1600 for subtraction.

$\implies{\sf{{(a)}^{2} + {576} = {1600}}}$

$\implies{\sf{{(a)}^{2}= 1600 - 576}}$

$\implies{\sf{{(a)}^{2}= 1024}}$

Now, to get the rid of the square on a, just square root both sides.

$\implies{\sf{\sqrt{{(a)}^{2}} = \sqrt{1024} }}$

$\implies{\sf{\sqrt{a \times a} = \sqrt{32 \times 32}}}$

$\implies{\sf{a = 32}}$

Hence, the value of a is 32.