the sides of a triangle is 9,12,15cm..Find the sides of a similar triangle if the longest side is 20 cm
To find the sides of a similar triangle, we need to find the corresponding sides of the given triangle by using the scale factor.
First, let's find the scale factor by dividing the longest side of the original triangle by the longest side of the new triangle:
Scale factor = (longest side of new triangle) / (longest side of original triangle)
= 20 cm / 15 cm
= 4/3
Now, we can find the corresponding sides of the new triangle by multiplying each side of the original triangle by the scale factor:
Side 1 of the new triangle = Side 1 of the original triangle * scale factor
= 9 cm * 4/3
= 36/3
= 12 cm
Side 2 of the new triangle = Side 2 of the original triangle * scale factor
= 12 cm * 4/3
= 48/3
= 16 cm
Side 3 of the new triangle = Side 3 of the original triangle * scale factor
= 15 cm * 4/3
= 60/3
= 20 cm
Therefore, the sides of the similar triangle are 12 cm, 16 cm, and 20 cm.
To find the sides of a similar triangle, we can use the concept of proportionality. Since we know the ratio of the sides in the given triangle, we can use that ratio to find the corresponding sides of the similar triangle.
First, let's calculate the ratio of the sides in the given triangle:
9 : 12 : 15
Next, we need to find the scaling factor to apply to this ratio to get the sides of the similar triangle. We can do this by taking the ratio of the longest side of the similar triangle to the longest side of the given triangle.
Length of longest side in the given triangle = 15 cm
Length of longest side in the similar triangle = 20 cm
Scaling factor = Length of longest side in the similar triangle / Length of longest side in the given triangle
Scaling factor = 20 cm / 15 cm
Scaling factor = 4/3
Finally, we can use this scaling factor to find the sides of the similar triangle.
Multiply each side length of the given triangle by the scaling factor to get the corresponding side lengths of the similar triangle.
Side a in the similar triangle = 9 cm * (4/3) = 12 cm
Side b in the similar triangle = 12 cm * (4/3) = 16 cm
Side c in the similar triangle = 15 cm * (4/3) = 20 cm
Therefore, the sides of the similar triangle with the longest side measuring 20 cm are 12 cm, 16 cm, and 20 cm.
a/9 = b/12 = 20/15
easy to find a and b
or
(9,12,15) = 3(3,4,5)
(?,?,20) = 4(3,4,5)
12
16
20