In △ ABC, ∠ B = 90 °, ab = 7, BC = 24, AC = 25 A. 2B. 3C. 4D. 5
Let PE = pf = PG = XS △ ABC = 12 × ab × CB = 84, s △ ABC = 12ab × x + 12ac × x + 12bc × x = 12 (AB + BC + AC) · x = 12 × 56x = 28x, then 28x = 84, x = 3
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- 1. As shown in the figure, △ ABC, ∠ ACB = 90 °, CD ⊥ AB at point D, if ad = 6, BD = 2, then the length of BC is______ .
- 2. In the right triangle ABC, ∠ C = 90 °, BC = 8, triangle ABC area = 24, find the height on the hypotenuse AB (many methods)
- 3. In △ ABC, ∠ BAC = 90 °, ab = 3, AC = 4, ad bisects ∠ BAC and intersects BC with D, then the length of BD is () A. 157B. 125C. 207D. 215
- 4. In △ ABC, ab = 13, AC = 15, high ad = 12, then the length of BC is () A. 14b. 14 or 4C. 8D. 4 or 8
- 5. In RT △ ABC, ∠ C = 90 ° AC · BC = quarter AB ^ 2, what is the degree of ∠ a
- 6. In RT △ ABC, ∠ C = 90 °, if ∠ a = 45 °, find BC: AC and BC: ab
- 7. In RT △ ABC, ∠ C = 90 °, a = 45 ° is known, AC: BC: ab
- 8. In known triangle ABC, angle a is 10 degrees less than 2 angle B, and angle B is 30 degrees less than 2 angle C
- 9. If AB = 5 √ 2, find AC and BC
- 10. Let AC = B, BC = a, ab = C, CD = h in RT △ ABC, let AC = B, BC = a, ab = C, CD = H It is known that: in RT △ ABC, ∠ ACB = 90 ° CD ⊥ AB is at point D, let AC = B, BC = a, ab = C, CD = H Proof: a triangle with a + B, h, C + h sides is a right triangle
- 11. As shown in the figure, in the triangle ABC, ab = AC = 10, s triangle ABC = 30, find the length of BC
- 12. In the triangle ABC, if AC = 5, BC = 13, CD = 12, then the area of △ ABC is So hard!
- 13. In the triangle ABC, the angle BAC = 60 degrees, CD = 21, BC = 31, BD = 20, find ad
- 14. If the base length of an isosceles triangle is 12cm and the waist length is 10cm, the height of the belt is? To be explained in detail
- 15. An isosceles right triangle, known hypotenuse is 9 cm. Seek side length. What is the formula?
- 16. As shown in the figure, take the hypotenuse of the isosceles right triangle AOB as the right edge, make the second isosceles right triangle aba1 outward, and then use the isosceles right triangle a1bb1 Given OA = ob = 1, what is the area of the nth isosceles right triangle?
- 17. It is known that △ ABC is an isosceles triangle, BD is high, and ∠ abd = 50 degrees It's a process
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- 19. If the acute angle between the heights of the two waists of an isosceles triangle is 70 degrees, what are the degrees of the three internal angles of an isosceles triangle?
- 20. If the vertex angle of an isosceles triangle is known to be 40 degrees, then the angle between the height of its waist and the bottom is 40 degrees______ .