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2 years ago

If AB = 10, AD = 8, and AE = 12, what is the length of EC?

Mathematics

1 answer:

Karolina [17]2 years ago

6 0

Answer:

AB is 16 units.

Step-by-step explanation:

Given:

AE = EC

BF = FC

EF = 8 and DF = 10

To Find:

AB = ?

Solution:

Mid Point Theorem:

The Midpoint Theorem states that "the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side".

AE = EC .....Given

Therefore E is the Mid Point of AC.

BF = FC .....Given

Therefore F is the Mid Point of BC.

Therefore,

EF || AB ........................Mid Point Theorem.

..............Mid Point Theorem.

Substituting the values we get

Therefore AB is 16 units.

Step-by-step explanation:

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<u>Answer-</u>

$\boxed{\boxed{\dfrac{\widehat{BC}}{\widehat{DE}}=\dfrac{3}{4}}}$

<u>Solution-</u>

We know that arc length is the product of radius and central angle in radian.

i.e $\text{Arc length}=\text{Radius}\times \text{Central angle}$

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