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