Δabc is similar to δaxy by a ratio of 4: 3. if bc = 24, what is the length of xy?

18

Step-by-step explanation:

24/4 = 6 so

4*6 is 24 and 3*6 is 18

Length of XY is 18 units.

Step-by-step explanation:

Given,

By the ratio of 4 : 3

That is, the ratio of corresponding sides of triangles ABC and AXY is 4 : 3,

We have, BC = 24 units,

Hence, the length of XY is 18 units.

a) The length of B D = 12 .06 cm

b) The length of CD = 13 .36 cm

Step-by-step explanation:  

Step(i):-

Given the side of the length AB = 10 cm

From diagram

In diagram given angle α = 56°

cross multiplication , we get

Step(ii):-

we have BC = 18 cm

B D = 12 .06

By using Pythagoras theorem

BC² = B D² + C D²

C D² = BC² - B D² = (18)² - (12.06)²

C D²  = 324 - 145.44

C D² = 178.56

CD = √178.56 = 13.36

Conclusion:-

a) The length of B D = 12 .06 cm

b) The length of CD = 13 .36 cm