Question

What is the perimeter of ΔBDE?

Answer 1

Answer:

I think A is the answer

Step-by-step explanation:

Answer 2

Answer:

a) $\displaystyle \sqrt{17} + \sqrt{26} + 5$

Step-by-step explanation:

To find the length of all three sides, you have to use the Distance Formula:

$\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = D$

D[2, 6], and B[−2, 3] → DB

$\displaystyle \sqrt{[-2 - 2]^2 + [-6 + 3]^2} = \sqrt{[-4]^2 + [-3]^2} = \sqrt{16 + 9} = \sqrt{25} = 5$

DB is 5 units long.

E[3, 2] and B[−2, 3] → EB

$\displaystyle \sqrt{[-3 - 2]^2 + [-2 + 3]^2} = \sqrt{[-5]^2 + 1^2} = \sqrt{25 + 1} = \sqrt{26}$

EB is $\displaystyle \sqrt{26}$units long.

E[3, 2] and D[2, 6] → ED

$\displaystyle \sqrt{[-3 + 2]^2 + [-2 + 6]^2} = \sqrt{[-1]^2 + 4^2} = \sqrt{1 + 16} = \sqrt{17}$

ED is $\displaystyle \sqrt{17}$units long.

Altogether, you have the perimeter of $\displaystyle \sqrt{17} + \sqrt{26} + 5$units.

I am joyous to assist you anytime.

* Since we are talking about distance, we ONLY want the NON-NEGATIVE roots.