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grigory [225]
3 years ago
9

B is the midpoint of AC and d is the midpoint of ce BD = 3x, and AE = 60. Find the length of AB if AC = 5x + 10.

Mathematics
2 answers:
ratelena [41]3 years ago
8 0
Ab=30 with a scale factor of 2:1
Cloud [144]3 years ago
3 0

Answer:

The length of AB is 30 units.

Step-by-step explanation:

Given B is the midpoint of AC and D is the midpoint of CE.

BD = 3x, AE = 60 and  AC = 5x + 10

we have to find the value of AB.

As B is the mid point of AC and D is the mid-point of CE.

By mid-point formula, the length of line joining the mid-points of two sides of triangle is half of the parallel side.

∴ BD=\frac{1}{2}AE

⇒ 3x=\frac{1}{2}\times 60

⇒ x=10units

As, B is the mid-point of AC

⇒ AB=\frac{1}{2}AC=\frac{1}{2}(5x+10)=\frac{1}{2}(5(10)+10)=30units

The length of AB is 30 units.

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