EarlBencosme
Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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?

Sagot :

The question has two similar triangles. The triangles are isosceles. 
In order for us to get the length of the sides of the other triangle, we can use ratio and proportion.

Triangle 1
side lengths = 24 mm 
base length = 16 mm

Triangle 2
side lengths = ?
base length = 11 mm

24 : 16 = X : 11
24 / 16 = X / 11
16X = 264
X = 16.5 mm

So the length of the equal-length side of the other triangle.
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.