Question

Help me with this please?

Answer 1

Answer:

$\sqrt{51}$ or 7.14

Step-by-step 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 $b = \sqrt{ 100-49$ = $\sqrt{51}$

The radical form would be $\sqrt{51}$

While it's integer would be 7.14

Hope this helps!

Answer 2

Answer:

Step-by-step 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