A student claims that two similar triangles with areas 8 cm^2 and 18 cm^2 must have corresponding sides in the ratio 8 : 18, that is 4 : 9. Give the correct ratio of the corresponding sides.

Question

Accepted Answer

2 : 3. The area ratio is 8/18 = 4/9; the side ratio is its square root, √4/9 = 2/3, i.e. 2 : 3. The student simply quoted the area ratio (4 : 9, the same as 8 : 18) as though it were the side ratio, and 64 : 324 squares the two areas a second time.

A student claims that two similar triangles with areas $8 cm^{2}$ and $18 cm^{2}$ must have corresponding sides in the ratio 8 : 18, that is 4 : 9.
Give the correct ratio of the corresponding sides.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

A student claims that two similar triangles with areas 8cm2 and 18cm2 must have corresponding sides in the ratio 8 : 18, that is 4 : 9.Give the correct ratio of the corresponding sides.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Areas of Similar Triangles practice

A student claims that two similar triangles with areas $8 cm^{2}$ and $18 cm^{2}$ must have corresponding sides in the ratio 8 : 18, that is 4 : 9.
Give the correct ratio of the corresponding sides.