As shown in the figure, in RT △ ABC, ∠ B = 90 ° and point D is the midpoint of edge BC. Given ad = 5cm and BD = 3cm, find the length of AB and AC~

In RT △ abd, if the hypotenuse ad = 5 and the right angle BD = 3, then the Pythagorean theorem AB square + BD square = ad square gives AB = 4cm
In RT triangle ABC, BC = 2bd = 6, then Pythagorean theorem obtains AC = 2, radical 13

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1. It is known that in the triangle ABC, the angle c is equal to 90 degrees, AC is equal to BC, and ad is the bisector of the angle BAC. It is proved that AC + CD = ab
2. It is known that in the triangle ABC, the angle bisector ad of ∠ BAC intersects BC with D. It is proved that AC ratio AB equals CD ratio dB
3. In the isosceles RT triangle ABC, ab = AC, angle BAC = 90 degrees, be bisection angle BAC intersects AC at e, CD is made through C, be is perpendicular to D, and ad is connected
4. In the triangle ABC, the angle c = 90 ° and the angle B = 45 ° ad bisects the angle BAC and intersects BC at the point D. It is proved that ab = AC + CD
5. In triangle ABC, the angle BAC equals 135 degrees, ad is vertical to BC, the perpendicular foot is D, BD equals 4, CD equals 6, and the area of triangle ABC is calculated
6. As shown in the figure, it is known that △ ABC is inscribed in circle O, AE bisects ∠ BAC, and ad ⊥ BC is at point D. connect OA, and verify ∠ OAE = ∠ DAE As shown in the figure, it is known that △ ABC is inscribed in circle O, AE bisects ∠ BAC, and ad ⊥ BC is connected to point D, OA is connected, and the verification is as follows: ∠ OAE = ∠ DAE
7. The triangle ABC is the inscribed triangle of circle O, AE is perpendicular to e, and D is the midpoint of - BC, connecting OA and AD
8. In the triangle ABC, DC: BD = 2:5, be and ad intersect at O, Bo: OE = 4, then Ce: EA =?
9. As shown in the figure, the triangle ABC is divided into two parts, AE = 3, EC = 2, BD = 3, DC = 1. What is the area ratio of the two parts
10. Triangle ABC and triangle DEB are equilateral triangles, e, B, C, on a straight line, CD, AE intersect o, connect Bo, 1) Verification of Bo bisector angle EOC 2) Explore the relationship between Ao, Co, Bo and prove it Sorry, there's no picture. The triangle BDE is small and ABC is large Triangle EBD on the left, ABC on the right
11. It is known that in RT △ ABC, ∠ BAC = 90 °, ab = 5cm, AC = 6cm, and the height ad on the edge of BC = 4cm. What is the radius of the circumscribed circle of △ ABC
12. As shown in the figure, in △ ABC, angle c = 90 °, de ⊥ AB and D, intersection AC and E, if BC = BD, AC = 4cm, BC = 3cm, ab = 5cm, calculate △ ad Find the perimeter of the triangle ade,
13. The triangle ABC in the right figure is an isosceles right triangle with a right edge of 4cm. Calculate the area of the shadow part The picture is wrong
14. As shown in the figure, in equilateral △ ABC, D is a point on the edge of BC, e is a point on the edge of AC, and ∠ ade = 60 °, BD = 3, CE = 2, then the area of △ ABC is () A. 813B. 8132C. 8134D. 8138
15. As shown in the figure, in square ABCD, e is a point on CD, extend BC to F, make CF = CE, connect DF, be and DF intersect at g, prove: BG ⊥ DF
16. Let G be the center of gravity of the triangle, GA = 2 times the root 3, GB = 2 times the root 2, GC = 2, and find the area of the triangle ABC
17. Given that the center of gravity of △ ABC is g, GA = 3, GB = 4, GC = 5, calculate the area of △ ABC
18. As shown in the figure, in △ ABC, ∠ ABC = ∠ ACB, D is on the line BC, e is on the line AC, and ∠ ade = ∠ AED (1) explore the quantitative relationship between ∠ bad and ∠ CDE and explain the reason (2) If D is on the extension line of CB and E is on the extension line of AC, is the conclusion in (1) still valid
19. It is known that ad is the height of the waist BC of isosceles △ ABC, ∠ DAB = 60 ° and the inner angles of the triangle are calculated
20. If ad is the height on the waist of isosceles △ ABC and ∠ DAB = 60 °, then the degrees of the three angles of △ ABC are______ ．