Davida bought a pair of earrings, each in the shape of an isosceles triangle with equal side lengths of 24 mm and a base length of 16 mm. She used one earring to make another pair of earrings, similar in shape, with the base length equal to 11 mm.

What is the length of the equal-length sides of this new pair of earrings?

Question

Davida bought a pair of earrings, each in the shape of an isosceles triangle with equal side lengths of 24 mm and a base length of 16 mm. She used one earring to make another pair of earrings, similar in shape, with the base length equal to 11 mm.
 
What is the length of the equal-length sides of this new pair of earrings?

anonymous · Answer

I think we set up a proportion.

$\dfrac{16}{11} = \dfrac{24}{x}$

Cross multiply:

$16x = 264$

Divide 16 to both sides, what's 264 / 16?

anonymous · Answer

@Ilovecake Can you divide that?

ilovecake · Answer

16.5

anonymous · Answer

Yes, that is our answer.