Question

Consider the paragraph proof.

Answer 1

Answer:

a

Step-by-step explanation:

You're trying to find the distance between D and E so u use the distance formula.

sqrt (a+b-b^2)+(c-c)^2=sqrt a^2=a

Answer 2

Answer:

a

Step-by-step explanation:

We are given that

D is the mid-point of AB and E is the mid-point of AC.

We have to find the missing information in given proof of DE is equal to half of BC.

Proof:

D is the mid-point of AB and E is the mid-point of AC.

The coordinates of A are (2b,2c)

The coordinates of D are (b,c)

The coordinates of E are (a+b,c)

The coordinates of  B are (0,0)

The coordinates of  C are (2a,0)

Distance formula:$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the formula

Length of BC=$\sqrt{(2a)^2+(0-0)^2}=2a$ units

Length of DE=$\sqrt{(a+b-b)^2+(c-c)^2}=a$ units

$BC=2a=2\times DE$

$DE=\frac{1}{2}BC$

Hence, proved.

Option A is true.