I draw 2 similar right triangles. The longest side of the larger triangle measures 21 cm and the shortest side of that one is 14cm. The longest side of the smaller triangle is 15 cm. What is the length of the shorter side of the smaller triangle?
To find the length of the shorter side of the smaller triangle, we can set up a proportion using the similar triangles:
Let x be the length of the shorter side of the smaller triangle.
From the given information, we have:
(Short side of smaller triangle) / (Long side of smaller triangle) = (Short side of larger triangle) / (Long side of larger triangle)
x / 15 = 14 / 21
Now, cross multiply to solve for x:
21x = 14 * 15
21x = 210
x = 210 / 21
x = 10
Therefore, the length of the shorter side of the smaller triangle is 10 cm.