A triangular banner is similar to a smaller display triangle. The banner's area is 3.24 m^2 and the display's area is 0.81 m^2. A support rod runs along the longest side of the banner and is 1.8 m. Find the length of the corresponding side on the display (in m).

Question

Accepted Answer

0.9. Side ratio display:banner = √0.81/3.24 = √0.25 = 0.5. Display side = 1.8 x 0.5 = 0.9 m.

A triangular banner is similar to a smaller display triangle. The banner's area is $3.24 m^{2}$ and the display's area is $0.81 m^{2}$ .
A support rod runs along the longest side of the banner and is 1.8 m.
Find the length of the corresponding side on the display (in m).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

A triangular banner is similar to a smaller display triangle. The banner's area is 3.24m2 and the display's area is 0.81m2.A support rod runs along the longest side of the banner and is 1.8 m.Find the length of the corresponding side on the display (in m).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

A triangular banner is similar to a smaller display triangle. The banner's area is $3.24 m^{2}$ and the display's area is $0.81 m^{2}$ .
A support rod runs along the longest side of the banner and is 1.8 m.
Find the length of the corresponding side on the display (in m).