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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