6th grade geometry word problem

Question

The Triangle base (24) and Height (16) the next triangle is half the length of this triangle. What is the length? I know the answer is 3, but I do not know how to get it. Can you please show the steps of how you solved it?

Thank you

Answer 1

Information sorted out from the 6th grade geometry question.

What you're solving for?

The base and height of a smaller triangle similar to a larger triangle with a scaling factor of 1/2.

What's given in the problem?

1. Base of the larger triangle: b1 = 24
2. Height of the larger triangle: h1 = 16

How to solve the problem?

Step 1

Calculate the base of the smaller triangle.

b2 = b1 times 1/2

b2 = 24 times 1/2 = 12

b2 = 12

Step 2

Multiply the base of the larger triangle by 1/2.

h2 = h1 times 1/2

h2 = 16 times 1/2 = 8

h2 = 8

Solution:

The base of the smaller triangle is 12 and the height is 8

I hope the mathematical calculations (step by step approach) was helpful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H. 5/4/2025