points a,b,c,and d lie on a straight line in the given order. AC = 25 cm and BD = 46 cm. The ratio of length AB is 5/2. Find the length of line segment BC in cm
The statement
"The ratio of length AB is 5/2 "
makes no sense.
Check your typing.
It has to be something like
"The ratio of length AB to ...... is 5/2 "
To Reiny
I think he ment " the ratio of line segment AB to CD is 5:2"
With this thought, the answer is 11
To find the length of line segment BC, we need to use the concept of similar triangles. Let's break down the problem step by step:
1. Draw a line segment with points A, B, C, and D in the given order.
2. Label the length of AC as 25 cm and the length of BD as 46 cm.
3. Let's find the length of AB using the given ratio: 5/2. Since AB is a part of the longer line segment AC, we need to divide 25 cm into 5 + 2 parts using the ratio.
- Each part will be 25 cm / (5 + 2) = 25 cm / 7 = 3.57 cm.
- Therefore, AB is 5 parts, which equals 5 x 3.57 cm = 17.85 cm.
4. Now that we know AB is 17.85 cm, we can find the length of BC.
- Since points A, B, and C lie on a straight line, the sum of lengths AB and BC should equal the length of AC.
- AC is given as 25 cm, and AB is 17.85 cm. So, the length of BC can be found by subtracting AB from AC: BC = AC - AB.
- BC = 25 cm - 17.85 cm = 7.15 cm.
Thus, the length of the line segment BC is 7.15 cm.