The maximum area of the triangle is () A. 85cm2B. 610cm2C. 355cm2D. 20cm2

The maximum area of the triangle is () A. 85cm2B. 610cm2C. 355cm2D. 20cm2


Let the three sides of a triangle be a, B, C respectively, and let P = a + B + C2, then p = 10. From Helen's formula s = P (P − a) (P − b) (P − C), we know that s = 10 (10 − a) (10 − b) (10 − C) ≤ 10 [(10 − a) + (10 − b) + (10 − C) 33 = 10039 < 20 < 355. Because the condition for the equal sign to hold is 10-A = 10-B = 10-C, so "=" does not hold, and ﹤ s < 20 < 355 is excluded. C, D. from the above inequality, when the three sides are equal, the area is the largest Therefore, when the length of a, B and C is the closest, the area is the largest. At this time, the length of the three sides is 7, 7 and 6, which are connected by 2 and 5, 3 and 4 are connected by one side, and the third side is 7 to form a triangle. This triangle has the largest area of 610cm2, so B



For triangles and parallelograms with equal base and height, the base ratio is 2:1, the height ratio is 3:2, and the area ratio is?


Triangle: 2 * 3 / 2 = 3
Parallelogram: 1 * 2 = 2
Triangle: parallelogram = 3:2
(if the base ratio of triangle and parallelogram is 2:1 and the height ratio is 3:2, it is not equal base and equal height.)



The height ratio of a triangle to a parallelogram is 4:7, the area ratio is 8:9, and the bottom ratio is what


14:9



The area of two triangles is equal. The length ratio of their base is 3:1. What is the ratio of their height?


Area of triangle = base times height times 0.5
Let the bottom of triangle 1 be 3x and the bottom of triangle 2 be X
Let the height of triangle 1 be a and the height of triangle 2 be B
So 0.5 times 3x times a equals 0.5 times x times B
So 3A equals B
So their ratio of height is 1:3



The area of two triangles is equal. The ratio of the length of their base is 3:1. What is the ratio of their height?


Their high ratio is 1:3
The area of a triangle is fixed, and the bottom is inversely proportional to the height. The ratio of the bottom is 3:1, so the ratio of the height is 1:3



The area of two triangles is equal, and the length ratio of their base is 3:1. What is the ratio of their height? Suppose the area of the triangle


Suppose the area is 6, the bottom of the first is 3, and the second is 1
So the first height is: 6 × 2 △ 3 = 4
The second height is: 6 × 2 △ 1 = 12
So their high ratio is: 4:12 = 1:3



The area of two triangles is equal. The ratio of the length of the base is 3:1. What is the ratio of the height?


The triangle area is the length of the base multiplied by the height divided by 2, the ratio of the base to the edge is 3:1, the ratio of the height is its inverse ratio 1:3, 0.5 * H1 * A1 = 0.5 * H2 * A2
a1/a2=h2/h1=3:1 h1/h2=1:3



The area of two triangles is equal. The length of their bottom is 3:1. What is the ratio of their height


1:3



For two triangles of equal area, the ratio of height on their bottom edge is 3:1. What is the ratio of length on their bottom edge?


For two triangles of equal area, the ratio of height on their bottom edge is 3:1. The ratio of length on their bottom edge is 3:1



The bottom of a triangle is 18 cm and the height is 6 cm. How fast is the area of this triangle


Area = 1 / 2 × 18 × 6 = 54 square centimeter