A right isosceles triangle has side lengths of 13.2, 13.2, and 18.6 meters. What is the hypotenuse of a similar triangle with legs 4.4 meters in length?(1
To find the hypotenuse of the similar triangle, we can use the property of similar triangles that states the corresponding sides are proportional.
In the right isosceles triangle, the ratio of the lengths of the two congruent sides is 13.2/18.6.
So, in the similar triangle, the ratio of the lengths of the two congruent sides is also 4.4/x, where x is the hypotenuse of the similar triangle.
Setting up a proportion, we have:
13.2/18.6 = 4.4/x
Cross-multiplying, we get:
13.2x = 4.4 * 18.6
Simplifying and solving for x, we have:
13.2x = 81.84
x = 81.84/13.2
x ≈ 6.2
Therefore, the hypotenuse of the similar triangle is approximately 6.2 meters.
A quadrilateral’s smallest side measures 29 mm and its largest side measures 38 mm. A similar quadrilateral’s largest side measures 95 mm. What is the measure of its smallest side?(1 point)
mm
If the largest side of a quadrilateral is 38 mm and the largest side of a similar quadrilateral is 95 mm, we can set up a proportion to find the measure of the smallest side.
The ratio of the corresponding sides of the two similar quadrilaterals is equal to the ratio of their largest sides.
Let x represent the measure of the smallest side of the similar quadrilateral.
Therefore, we can set up the proportion:
38/x = 95/29
Cross-multiplying, we get:
38 * 29 = 95 * x
1102 = 95 * x
Dividing both sides by 95, we find:
x = 1102 / 95
x ≈ 11.6
Therefore, the measure of the smallest side of the similar quadrilateral is approximately 11.6 mm.
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I apologize for the mistake. Let's correct it:
If the largest side of a quadrilateral is 38 mm and the largest side of a similar quadrilateral is 95 mm, we can set up a proportion to find the measure of the smallest side.
The ratio of the corresponding sides of the two similar quadrilaterals is equal to the ratio of their largest sides.
Let x represent the measure of the smallest side of the similar quadrilateral.
Therefore, we can set up the proportion:
38/x = 95/38
Cross-multiplying, we get:
38 * 38 = 95 * x
1444 = 95 * x
Dividing both sides by 95, we find:
x = 1444 / 95
x ≈ 15.2
Therefore, the measure of the smallest side of the similar quadrilateral is approximately 15.2 mm.
ok whatever A triangle has sides of lengths 4.2, 5.7, and 7.2 inches. The smallest side of a similar triangle is 1.4 inches. What are the lengths of the other two sides? Write the smaller side length first and the larger side length second.(1 point)
The smaller side length is
inches and the larger side length is
inches.
To find the lengths of the other two sides of the similar triangle, we can use the property of similar triangles that states the corresponding sides are proportional.
In the original triangle, the ratio of the lengths of the two smaller sides is 4.2/1.4.
So, in the similar triangle, the ratio of the lengths of the two smaller sides is also 5.7/x, where x is the length of the larger side of the similar triangle.
Setting up a proportion, we have:
4.2/1.4 = 5.7/x
Cross-multiplying, we get:
4.2x = 1.4 * 5.7
Simplifying and solving for x, we have:
4.2x = 7.98
x = 7.98/4.2
x ≈ 1.9
Therefore, the lengths of the other two sides of the similar triangle are approximately 1.4 inches and 1.9 inches.
The smaller side length is 1.4 inches and the larger side length is 1.9 inches.