sam wants to enlarge a triangle with side 3, 6 and 6 inches, if the shortest side of the new triangke is 13 inchwes how long will the long will the other two sides be
solve:
x/6 = 13/3
or , by the "Just-look-at-it Theorem"
since the longer side of the original is twice the smaller,
shouldn't the larger in the new one be twice the 13 ?
Ere
To enlarge a triangle, you need to find the scale factor by dividing the length of the corresponding sides. In this case, since the shortest side of the new triangle is 13 inches and the original triangle has a shortest side of 3 inches, the scale factor can be found by dividing 13 by 3.
Scale factor = 13 / 3 = 4.33 (rounded to two decimal places)
Now, we can use the scale factor to find the lengths of the other two sides of the enlarged triangle.
Longest side: 6 inches x 4.33 = 25.98 inches (rounded to two decimal places)
The other two sides of the enlarged triangle will also be 25.98 inches each.
To find the lengths of the other two sides of the enlarged triangle, we can use the concept of similar triangles. Similar triangles have proportional side lengths.
In this case, we know that the shortest side of the original triangle is 3 inches, and the shortest side of the enlarged triangle is 13 inches. To find the ratio of enlargement, we divide the new side length by the original side length: 13 / 3 = 4.33.
Next, we multiply this ratio by the lengths of the other two sides of the original triangle to find the lengths of the other two sides of the enlarged triangle:
- Original side lengths: 6 inches and 6 inches
- Enlarged side lengths: 6 inches * 4.33 = 25.98 inches and 6 inches * 4.33 = 25.98 inches
Therefore, the lengths of the other two sides of the enlarged triangle will be approximately 25.98 inches each.