lukasandrius09
Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Two corresponding sides of two similar triangles are 3 cm and 5 cm. The area of the first triangle is 12 cm. What is the area of the second triangle?

Sagot :

oladayoademosu

Since the are of the first triangle is 12 cm², the area of the second triangle is 33.33 cm².

To answer the question, we need to know what similar triangles are

What are similar triangles?

Similar triangles are triangles in which the ratio of their corresponding sides is constant.

Given that the corresponding sides of the two similar triangles are 3 cm and 5 cm respectively. Also, the area of the first triangle is 12 cm². We need to find the area of the second triangle.

Area of second triangle

Since the triangles are similar, we have that

(side of second triangle/side of first triangle)² = Area of second triangle/Area of first triangle

Area of second triangle = (side of second triangle/side of first triangle)² × Area of first triangle

= (5 cm/3 cm)² × 12 cm²

= 25/9 × 12 cm²

= 25/3 × 4 cm²

= 100 cm²/3

= 33.33 cm²

So, the area of the second triangle is 33.33 cm².

Learn more about similar triangles here:

https://brainly.com/question/21874065

#SPJ1

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.