301,065 views
8 votes
8 votes
Can you please help me out with a question

User Lorianne
by
2.4k points

1 Answer

12 votes
12 votes

J.24

Step-by-step explanation

we have a rigth triangle, then

Let

leg1=radius= 7

leg2=QP

hypotenuse= radius+18=25

now, we can use the Pythagorean theorem:

Pythagorean theorem, the geometric theorem that states the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse


a^2+b^2=c^2

hence, replace


\begin{gathered} 7^2+QP^2=25^2 \\ 49+QP^2=625 \\ \text{subtract 49 in both sides} \\ 49+QP^2-49=625-49 \\ QP^2=576 \\ \text{square rot in both sides} \\ \sqrt[\square]{QP^2}=\sqrt[\square]{576} \\ QP=24 \end{gathered}

so, the answer is


J.24

I hope this helps you

Can you please help me out with a question-example-1
User Gabriel ThaKid
by
2.5k points