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
<h3>What are similar triangles?</h3>
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.
<h3 /><h3>Area of second triangle</h3>
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:
brainly.com/question/21874065
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