Triangle ABC is similar to triangle RST with AB = 2.4 cm and RS = 4 cm. The area of triangle RST is $75 cm^{2}$ .
Find the area of triangle ABC in $cm^{2}$ .

Question

Triangle ABC is similar to triangle RST with AB = 2.4 cm and RS = 4 cm. The area of triangle RST is 75 cm^2. Find the area of triangle ABC in cm^2.

Accepted Answer

27. AB : RS = 2.4 : 4 = 3 : 5, so area(ABC) : area(RST) = (3/5 )^2 = 9/25. area(ABC) = 75 × 9/25 = 27 cm^2. Scaling by the side ratio 3/5 alone gives 45 cm^2, inverting and not squaring gives 125 cm^2, and inverting the squared ratio gives about 208.3 cm^2.

Triangle ABC is similar to triangle RST with AB = 2.4 cm and RS = 4 cm. The area of triangle RST is $75 cm^{2}$ .
Find the area of triangle ABC in $cm^{2}$ .

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

Triangle ABC is similar to triangle RST with AB = 2.4 cm and RS = 4 cm. The area of triangle RST is 75cm2.Find the area of triangle ABC in cm2.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

Triangle ABC is similar to triangle RST with AB = 2.4 cm and RS = 4 cm. The area of triangle RST is $75 cm^{2}$ .
Find the area of triangle ABC in $cm^{2}$ .