A set of 2 similar triangles was drawn in a design. One of the triangles was ½ of the other. If the measures of the smaller triangle were 5, 7, and 12 cm, the measures of the larger triangle = 10,14 and 20 cm.
true or false
Larger Triangle = 2*5, 2*7, 2*12=
10,14,24cm.
8x^2 + 5x = 15 + 3x
True.
To determine if the statement is true or false, we can use the concept of similar triangles.
Two triangles are similar if their corresponding angles are congruent, and their corresponding sides are proportional.
In this case, we are given that the smaller triangle is half the size of the larger triangle. This means that the ratio of corresponding sides of the smaller triangle to the larger triangle is 1:2.
The measures of the smaller triangle are 5, 7, and 12 cm. We can multiply each of these measures by 2 to get the corresponding measures of the larger triangle.
2 * 5 = 10 cm
2 * 7 = 14 cm
2 * 12 = 24 cm
However, the question states that the measures of the larger triangle are 10, 14, and 20 cm, not 10, 14, and 24 cm.
Thus, the statement is false. The measures of the larger triangle should be 10, 14, and 24 cm to maintain the 1:2 ratio with the smaller triangle.