Question

Find the value of z​

Answer 1

Answer:

z =8.49 or 6$\sqrt{2}$

Step-by-step explanation:

Do the Pythagorean theorem = $a^{2} +b^{2} =c^{2}$

Length of hypotenuse = 8+1=9

length of one side = 3

so, a²+3²=9²

     a²+3²=9²

     a²=81-9

     a²=72

     a=√72=8.49 or 6$\sqrt{2}$

   

Answer 2

$\textsf {Finding y :}$

$\implies \mathsf {1^{2} + y^{2} = 3^{2}}$

$\implies \mathsf {y^{2} = 8}$

$\implies \mathsf {y = 2\sqrt{2}}$

$\textsf {Finding z :}$

$\implies \mathsf {(2\sqrt{2})^{2}+8^{2}=z^{2}}$

$\implies \mathsf {z^{2} = 72}$

$\implies \mathsf {z = 6\sqrt{2}}$