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Aleonysh [2.5K]
3 years ago
7

Can someone help me with this diagram problem?

Mathematics
1 answer:
mart [117]3 years ago
6 0

Answer: the diagonal is 10 units

Step-by-step explanation:

The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.

To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

d² = 5² + (5√3)²

d² = 25 + 25×3 = 100

d = √100

d = 10 units

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