In the triangle ABC, if a [- 1,2,3], B [2, - 2,3], C [0.5,2.5,3], then the length of the central line CD on the side of ab

In the triangle ABC, if a [- 1,2,3], B [2, - 2,3], C [0.5,2.5,3], then the length of the central line CD on the side of ab


The midpoint D coordinate of AB is ((- 1 + 2) / 2, (2-2) / 2, (3 + 3) / 2), that is, (1 / 2,0,3)
Then CD ^ 2 = (0.5-1 / 2) ^ 2 + (2.5-0) ^ 2 + (3-3) ^ 2 = 2.5 ^ 2
So CD = 2.5



In the triangle ABC, ab = AC = 6, the middle line CE = 5, extend AB to D, make BD = AB, the length of CD is?


Make the center line BF of AC side,
In ABC, ab = AC = 6, CE = 5,
∴BF=CE=5,
And BD = AB,
∴CD=2BF=10.



Finding the range of the third side of a triangle with the center line of one side and the other side known


Draw a picture more clearly, I'm sorry secondary users can upload pictures, you can only draw it yourself. The process is not complicated
Let the original triangle be △ ABC, and the length of AB and the central line ad on the edge of BC be known, then extend ad to e, so that de = ad, connect be, and be = AC can be known easily. The problem is transformed into finding the length range of be by knowing the length of AB and AE in △ Abe



For a triangle, the length of one side is 15 cm, and the length of the other side is 8 cm. What is the value range of the third side?


15-8=7 15+8=23 7



The two sides of a triangle are 8 cm and 5 cm respectively. How long must the third side be?


3 cm, because the sum of any two sides is greater than the third side



If two sides of a triangle are 5 cm and 8 cm long, what is the length range of the other side?


3-----13



The lengths of two sides of a triangle are 3cm and 8cm respectively. What is the minimum length of the third side


Because the sum of any two sides of a triangle is greater than the third side, and the difference between any two sides is less than the third side,
So:
5 < length of the third side



The lengths of the three sides of the triangle are 3cm, 5cm and 8cm respectively


No, the sum of any two sides of a triangle is greater than the third



If the two sides of a triangle are 5 cm and 8 cm respectively, the length of the third side may be () cm
A. 12 cm B. 13 cm C. 14 cm


According to the trilateral relationship of the triangle, the third side should be greater than 8-5 = 3, and less than 8 + 5 = 13, 3 < the third side < 13



The length of the two sides of a triangle is 8 cm and 10 cm respectively. The length of the third side may be (), the maximum is (), and the minimum is ()
The length of the two sides of a triangle is 8 cm and 10 cm respectively. The length of the third side may be () the maximum is () the minimum is () (the length is rounded in centimeters)


The length of two sides of a triangle is 8 cm and 10 cm respectively. The length of the third side may be (greater than 2 and less than 18), the maximum is (17), and the minimum is (3)
In the first case, write numbers greater than 2 but less than 18: 3, 4 16,17