Question
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?
If the longest side of the triangle is now 3 cm long, how long will the other two sides be?
Answers
GPT 3.5
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.
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.