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

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• 1. 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
• 2. 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
• 3. 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
• 4. 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
• 5. 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
• 6. 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?
• 7. 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!)
• 8. [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
• 9. 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
• 10. 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
• 11. 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?
• 12. 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
• 13. The sum of the two right sides of a right triangle is 14 cm, and the area is 24 cm 2
• 14. The sum of the two sides of a right triangle is 14cm, and the area is 24cm ^ 2?
• 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 right sides of a right triangle is 14 cm, and the area is 24 cm 2
• 17. Right triangle, the length of each side is 6cm.8cm.10cm. What is the area of the triangle and the height of the hypotenuse
• 18. 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?
• 19. The three sides of a right triangle are 6cm 8cm 10cm. The area of the triangle is () cm2, and the height of the hypotenuse is (0cm)
• 20. The two right sides of a right triangle are 6cm and 8cm respectively. The length of the hypotenuse is 10cm. The area of the right triangle is 5cm______ cm2．