Question

Help me with this please?

Answer 1

`√(51)` or 7.14

Explanation:

Using the Pythagoras theorem, we can conclude the formula that we are going to use here is
`a^(2)+b^(2) = c^(2)`

As we can see, this is a right triangle given that it has the square in the corner there. With this information, we can conclude that the longest side is 10, making it the hypotenuse or
`c`

Now we need to find
`b` in the formula of
`a^(2)+b^(2) = c^(2)` making the equation
`b^(2) = c^(2) - a^(2)` or
`b = \sqrt{ c^(2) - a^(2)}`

Given the provided information, this would be
`b^(2) = 10^(2) - 7^(2)` or
`b = \sqrt{ 10^(2) - 7^(2)}`

Simplifying it would be
`b = \sqrt{ 100-49` =
`√(51)`

The radical form would be
`√(51)`

While it's integer would be 7.14

Hope this helps!

Answer 2

Explanation:

Use Pythagorean theorem,

Let the third side =x

base² + altitude² = hypotenuse²

7² + x² = 10²

49 + x² = 100

x² = 100 - 49

x² = 51

x = √51