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Luda [366]
3 years ago
15

A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?

Mathematics
1 answer:
Leona [35]3 years ago
6 0

Answer:

2x\sqrt{15}

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = \sqrt{4}·\sqrt{15} · \sqrt{x^2}

This can be simplified to be 2x\sqrt{15}

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