Question

please help me with this math

Answer 1

Let's put more details in the figure to better understand the problem:

From the given figure, two relationships have been identified using the Pythagorean Theorem.

Relationship 1:

$\text{ c}^2=6^2-5^2$

Relationship 2:

$\text{ c}^2=x^2+2^2$

From this, we generate the final relationships of the sides.

$\text{ 6}^2-5^2=x^2+2^2$

Let's find x,

$\text{ 6}^2-5^2=x^2+2^2$$\text{ 36 - 25 = x}^2\text{ + 4}$$\text{ 36 - 25 - 4 = x}^2$$\text{ 36 - 29 = x}^2$$\text{ 7 = x}^2$$\text{ }\sqrt[]{7}\text{ = x}$

Therefore, x = √7