Maritza draws to similar right triangles. The longest slide of the larger triangle measures 21 cm and the shortest sign of the triangle measures 14 cm. The longest side of the smaller triangle measures 15 cm what is the length of the shortest side of the smaller triangle
To find the length of the shortest side of the smaller triangle, we can use the property of similar triangles which states that corresponding sides of similar triangles are in proportion.
Let x be the length of the shortest side of the smaller triangle.
Given:
Longest side of larger triangle = 21 cm
Shortest side of larger triangle = 14 cm
Longest side of smaller triangle = 15 cm
We can set up a proportion to find the length of the shortest side of the smaller triangle:
15/21 = x/14
Cross multiply to solve for x:
15*14 = 21*x
210 = 21*x
x = 210/21
x = 10
Therefore, the length of the shortest side of the smaller triangle is 10 cm.