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erma4kov [3.2K]
3 years ago
12

Use the distance formula to find the lengths of the sides (AC and AE) that include the overlapping angle

Mathematics
2 answers:
ivanzaharov [21]3 years ago
5 0

Answer:

Part 1) Option A. 2

Part 2) Option B. 4

Step-by-step explanation:

we know that

The formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Determine distance AC

we have

A(3,1),C(5,3)

substitute in the formula

d=\sqrt{(3-1)^{2}+(5-3)^{2}}

d=\sqrt{(2)^{2}+(2)^{2}}

d=\sqrt{8}\ units

simplify

AC=2\sqrt{2}\ units

therefore

The length AC is 2 square root of 2 units

step 2

Determine distance AE

we have

A(3,1),E(7,5)

substitute in the formula

d=\sqrt{(5-1)^{2}+(7-3)^{2}}

d=\sqrt{(4)^{2}+(4)^{2}}

d=\sqrt{32}\ units

simplify

AE=4\sqrt{2}\ units

therefore

The length AE is 4 square root of 2 units

Pavlova-9 [17]3 years ago
5 0

Answer:

Step-by-step explanation:

AC is 2

AE is 4

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