A seamstress is making a decorative pillow and wants to sew lace around the trim. The pillow is in the shape of a triangle with vertices (7, 7) (10, 3) (7, 3). How many inches of lace will she need if each unit on the grid is one inch?

Question

Deandre Mccoy

Mathematics

2 May, 08:27

A seamstress is making a decorative pillow and wants to sew lace around the trim. The pillow is in the shape of a triangle with vertices (7, 7) (10, 3) (7, 3). How many inches of lace will she need if each unit on the grid is one inch?

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Answers (1)

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Paisley Velez · Answer 1

Use the distance formula in order to find the length of each side of the triangle.

> (7, 7) & (10, 3)

√[ (7-10) ² + (7-3) ²] = 5

> (10, 3) & (7, 3)

√[ (10-7) ² + (3-3) ²] = 3

> (7, 7) & (7, 3)

√[ (7-7) ² + (7-3) ²] = 4

Adding all lengths (or solving for perimeter), we have: 5 + 3 + 4 = 12

The seamstress will need 12 inches of lace.