It is known that a, B and C are the lengths of the three sides of a right triangle, and C is the hypotenuse. This is a case to judge the X equation a (1-x ^ 2) - 2 √ 2bx + C (1 + x ^ 2) = 0

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• 1. If the lengths of two sides of a right triangle are the two roots of the equation x & # 178; - 6x + 8 = 0, then the length of its third side is________ How do you calculate that
• 2. It is known that in an isosceles triangle ABC, the length of one side is 10, and the length of the other two sides is a quadratic equation of one variable with respect to X It is known that in the isosceles triangle ABC, the length of one side is 10, and the length of the other two sides is the two roots of the quadratic equation x ^ 2 - 18x + M = 0 with respect to X. the value of M is obtained
• 3. It is known that the triangle ABC is an isosceles triangle, in which the length of one side is 10 and the length of the other side is a quadratic equation of one variable with respect to X The square of X - (2k + 2) the square of X + K + 2K = 0
• 4. D is a point on the side BC of triangle ABC, and the angle bad = angle C. try to prove that the square of AD / the square of AC = BD / BC?
• 5. In the triangle ABC, ab = AC, angle BAC = 120 degrees, ad vertical BC, CD = 6, find the square of BD and AC (for the square of AC, and BD!)
• 6. [mathematical proof problem] as shown in the figure, in △ ABC, ab = AC, ∠ a = 36 °, BD is the angular bisector of ∠ ABC Mathematical proof As shown in the figure, △ ABC, ab = AC, ∠ a = 36 °, BD is the angular bisector of ∠ ABC
• 7. As shown in the figure, in the isosceles triangle ABC, ab = AC, ah is perpendicular to BC, and point E is the point above ah. Extend ah to point F, so that FH = EH. (1) prove that the quadrilateral ebfc is a diamond; (2) if ∠ BAC = ∠ ECF, prove that AC ⊥ CF
• 8. Known: as shown in the figure, in the isosceles triangle ABC, AC = BC, ∠ ACB = 90 & amp; amp; # 176;, line L passes through point C (points a and B are on the same side of line L) Ad ⊥ L, be ⊥ L and D respectively
• 9. As shown in the figure, in the right triangle ABC, AC &; BC = 24, hypotenuse AB = 8, CD perpendicular to AB and D, find the length of de De is the center line on the hypotenuse ab
• 10. In the triangle ABC, D is the midpoint of AB, AC = 12, BC = 5, CD = 13 / 2 As the question, fast, 1 hour to answer Don't Scribble Please look at the title and the process carefully. If there is any mistake in the answer, please answer the question carefully, My idea is to draw another right triangle to prove their congruence
• 11. Let ABC be three sides of a triangle, and prove that x ^ 2 + 2cx-b ^ 2 = 0, x ^ 2 + 2aX + B ^ 2 = 0 have common roots if and only if It's angle a = 90 degrees There's no need to answer. I've handed in my papers
• 12. If the hypotenuse of a right triangle is known to be 5 and the sum of two right angles is 7, the area of the triangle can be calculated Can you write the process more clearly? This is a big problem
• 13. The area of a right triangle is 6. The sum of two right angles is 7. How long is the hypotenuse? A + B = 7 why?
• 14. The sum of the two right angles of a right triangle is 14cm, and the area is 24cm. Find the length of the two right angles
• 15. The sum of the two right sides of a right triangle is 14 cm, and the area is 24 cm 2
• 16. The sum of the two sides of a right triangle is 14cm, and the area is 24cm ^ 2?
• 17. The sum of the two right sides of a right triangle is 14 cm, and the area is 24 cm 2
• 18. The sum of the two right sides of a right triangle is 14 cm, and the area is 24 cm 2
• 19. Right triangle, the length of each side is 6cm.8cm.10cm. What is the area of the triangle and the height of the hypotenuse
• 20. Is it easy to solve the problem with the help of the above diagram? Please use this method to solve the following problem. (first draw a picture) an isosceles right triangle, the length of the hypotenuse is 10cm. What is the area of this triangle?