Joey wants to reduce a triangle with sides 10 cm, 10 cm, and 15 cm.

If the longest side of the triangle is now 3 cm long, how long will the other two sides be?

1 answer

To reduce the triangle with sides 10 cm, 10 cm, and 15 cm to one with the longest side of 3 cm, we can use proportionality.

Let x be the length of the two congruent sides in the reduced triangle.

Since the sides of the original triangle are in a ratio of 10:10:15, we can set up the following proportion:

10/x = 15/3

Cross multiplying:

10*3 = 15*x
30 = 15*x

Dividing both sides by 15:

x = 30/15
x = 2

Therefore, the other two sides of the reduced triangle will be 2 cm each.