In △ ABC, ab = 6, AC = 4, BC = 8, ad is perpendicular to BC, find the area s

In △ ABC, ab = 6, AC = 4, BC = 8, ad is perpendicular to BC, find the area s


Using the Pythagorean theorem of the second day of junior high school, instead of using Helen's formula, we can get: BD & sup2; - (8-bd) & sup2; = 20, BD = 21 / 4, AD & sup2; + (21,...) from △ abd: AD & sup2; + BD & sup2; = 16 (2) (1) - (2)



In △ ABC, if CD = 3, ab = 6, BC + AC = 8, then the area of △ ABC is______ .


In △ ABC, CD is the middle line of AB side, and \\\\\\\\\\\\\\\\\\\\\\\\\\\\figure, in \\\\\\\\\\\\\\\\\\\\\\\\\\\282 =7.



In △ ABC, ab = AC, BC = 8, if the area of △ ABC is 8, then AB = AC, BC = 8=


Because AB = AC, the triangle is isosceles triangle. Make a vertical line from point a to BC side and intersect BC at point O. then Bo = Co. because △ area is 8, so Ao = 2 is in right triangle abo. Because Ao = 2, Bo = 2 / 1BC = 4, so AB ^ 2 = Ao ^ 2 + Bo ^ 2. So AB = 2 times root 5



In the known △ ABC, ∠ B = 45 °, ab = 8, AC = 6, calculate the area of △ ABC


∠B=45°,AB=8,AC=6,
The height on BC is 8 / √ 2 = 4 √ 2
Because 6 ^ 2 = 36 > (4 √ 2) ^ 2 6 ^ 2 - (4 √ 2) ^ 2 = 4, the square root is + / - 2
So there are two possibilities: BC = 4 √ 2 + 2 or 4 √ 2-2
Then s △ ABC = 4 √ 2x ((4 √ 2 - 2) / 2 or 4 √ 2x ((4 √ 2 + 2) / 2