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patriot [66]
2 years ago
14

Given ABCE is a rectangle, find the length of AD Help me

Mathematics
1 answer:
MakcuM [25]2 years ago
4 0

Answer:

AD = 10

Step-by-step explanation:

It's given that ABCE is a rectangle.

Therefore, measure of opposite sides of the rectangle will be equal.

AB = EC

AB = ED + DC

12 = ED + 4

ED = 8

Measure of side AE = 6

Since, measure of interior angles of a rectangle = 90°

Therefore, ΔEAD will be a right triangle.

By Pythagoras theorem,

AD² = AE² + ED²

      = 6² + 8²

AD = \sqrt{36+64}

      = \sqrt{100}

      = 10

Therefore, measure of side AD = 10 units

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