Question

O the nearest tenth, if necessary. 2. Сь A 3. A 15 25 60 48 B В O B В

Answer 1

Solving question 2.

We need to find the length of side b by using the Pythagorean Theorem.

The Pythagorean theorem is as follows:

`a^2+b^2=c^2`

Where a and b are the legs of the right triangle and c is the hypotenuse.

We have in the image that the hypotenuse (the side in front of the right angle) for this triangle is 25.

`c=25`

And we know of the legs of the triangle which we will call a:

`a=15`

Substituting these values into the Pythagorean Theorem:

`15^2+b^2=25^2`

We solve the operations by squaring the number:

`225+b^2=625`

now, to solve for b, we need to leave it alone at one side of the equation. For that, we subtract 225 to both sides of the equation:

`\begin{gathered} b^2=625-225 \\ b^2=400 \end{gathered}`

Finally, to find b, we take the square root of both sides of the equation:

`\begin{gathered} \sqrt[]{b^2}=\sqrt[]{400} \\ b=\sqrt[]{400} \\ b=20 \end{gathered}`

Answer: b=20