Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Two triangles are similar if their corresponding sides have an equal ratio
Since the sides of the 1st triangle are x, x, and 50
Since the sides of the 2nd triangle are 45, 45, and 75
Since the two triangles are similar by the SSS theorem, then
[tex]\frac{x}{45}=\frac{x}{45}=\frac{50}{75}[/tex]By using the cross-multiplication between the 1st or 2nd ratio and the 3rd ratio
[tex]\begin{gathered} \frac{x}{45}=\frac{50}{75} \\ x\times75=45\times50 \\ 75x=2250 \end{gathered}[/tex]Divide both sides by 75
[tex]\begin{gathered} \frac{75x}{75}=\frac{2250}{75} \\ x=30 \end{gathered}[/tex]The value of x is 30
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
