Question

NOT TO SCALE Triangle ABC is mathematically similar to triangle PQR. The area of triangle ABC is 16 cm². (i) Calculate the area of triangle PQR. (ii) The triangles are the cross-sections of prisms which are also mathematically similar. The volume of the smaller prism is 320cm³. Calculate the length of the larger prism.

          NOT TO SCALE
Triangle ABC is mathematically similar to triangle PQR. The area of triangle ABC is 16 cm².
(i) Calculate the area of triangle PQR.
(ii) The triangles are the cross-sections of prisms which are also mathematically similar. The volume of the smaller prism is 320cm³. Calculate the length of the larger prism.

NOT TO SCALE
Triangle ABC is mathematically similar to triangle PQR. The area of triangle ABC is 16 cm².
(i) Calculate the area of triangle PQR.
(ii) The triangles are the cross-sections of prisms which are also mathematically similar. The volume of the smaller prism is 320cm³. Calculate the length of the larger prism.

Added by Ruben C.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Jerelyn Nevil

05/10/2023

Step 1

Since the triangles are mathematically similar, the ratio of their areas is the square of the ratio of their corresponding sides. Let's denote the ratio of the sides as k. Then, the ratio of their areas is k^2. Given that the area of triangle ABC is 16 cm², let Show more…

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