If the areas of two similar triangles are in the ratio 9 : 64, then the ratio of their corresponding altitudes is:
3 : 8
2 : 1
9 : 64
8 : 3
Similarity
2 Likes

Question

If the areas of two similar triangles are in the ratio 9 : 64, then the ratio of their corresponding altitudes is: 1. 3 : 8 2. 2 : 1 3. 9 : 64 4. 8 : 3

KnowledgeBoat · Accepted Answer

Let the areas be A1 and A2, and the altitudes be h1 and h2 respectively. Since the triangles are similar, The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides (or altitudes). Hence, option 1 is the correct option.

Mathematics

If the areas of two similar triangles are in the ratio 9 : 64, then the ratio of their corresponding altitudes is:
3 : 8
2 : 1
9 : 64
8 : 3

Similarity

Related Questions

The nature of roots of quadratic equation 3x² − 6x − 3 = 0 are :
real and equal
real, distinct and rational
real, distinct and irrational
no real roots

What must be added to x³ + 7x² + 3x + 2 so that the result is completely divisible by (x + 2)?
−40
−16
16
40

Mathematics

If the areas of two similar triangles are in the ratio 9 : 64, then the ratio of their corresponding altitudes is:3 : 82 : 19 : 648 : 3

Similarity

Related Questions

The nature of roots of quadratic equation 3x2 − 6x − 3 = 0 are :real and equalreal, distinct and rationalreal, distinct and irrationalno real roots

What must be added to x3 + 7x2 + 3x + 2 so that the result is completely divisible by (x + 2)?−40−161640

If the areas of two similar triangles are in the ratio 9 : 64, then the ratio of their corresponding altitudes is:
3 : 8
2 : 1
9 : 64
8 : 3

The nature of roots of quadratic equation 3x² − 6x − 3 = 0 are :
real and equal
real, distinct and rational
real, distinct and irrational
no real roots

What must be added to x³ + 7x² + 3x + 2 so that the result is completely divisible by (x + 2)?
−40
−16
16
40