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If the three sides of a triangle are 15cm, 20cm and 25cm in length, what is the height of the longest side of the triangle______ cm．
As shown in the figure: let AB = 25 be the longest edge, AC = 15, BC = 20, pass C to make CD ⊥ AB in D, ∵ ac2 + BC2 = 152 + 202 = 625, AB2 = 252 = 625, ∵ ac2 + BC2 = AB2, ∵ C = 90 °, ∵ s △ ACB = 12ac × BC = 12ab × CD, ∵ AC × BC = ab × CD15 × 20 = 25CD, ∵ CD = 12 (CM); so the answer is: 12
If the lengths of three sides of a triangle are 15, 20 and 25, then the height of its largest side is ()
A. 12.5B. 12C. 7.5D. 9
The lengths of the three sides of a triangle are 15, 20 and 25152 + 202 = 625 = 252, respectively. This triangle is a right triangle, and the side with the length of 25 is the largest side. Let the height of the largest side be h, ∩ 15 × 20 = 25h, and the solution is h = 12. So B
If the three sides of a triangle are 15, 20 and 25, what is the length of the middle line on the longest side of the triangle?
25/2.
According to the inverse theorem of Pythagorean theorem, the length of three sides of a triangle can be judged as a right triangle, so the middle line on the longest side is the middle line on the hypotenuse, which is equal to half of the hypotenuse
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