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______ .

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______ .


As shown in the figure: in △ ABC, ab = AC, BD is the height on the edge AC. ∵ a = 70 ° and ab = AC, ∵ ABC = ∵ C = (180 ° - 40 °) △ 2 = 570 °; in RT △ BDC, ∵ BDC = 90 °, ∵ C = 70 °; ∵ DBC = 90 ° - 70 ° = 20 °



If the angle between the height of one waist and the height of the other waist of an isosceles triangle is 40 degrees, then the vertex angle of the isosceles triangle is?


In both cases,
When the height is inside, the vertex angle is 50 degrees
When the height is on the outside, the vertex angle is 130 degrees



A isosceles triangle, the line on a waist is equal to half of the waist, what is the bottom angle?
The answer is 15 or 75


You can draw a graph by yourself. According to trigonometric function, you have to
Waist height / other waist length = sin (APEX) = 1 / 2
Vertex angle = 30 ° or vertex angle = 150 °
Therefore, the bottom angle = (180 ° - 30 °) / 2 = 75 °
Or the base angle = (180-150 °) / 2 = 15 °



Given that the contour line on one waist of an isosceles triangle is equal to half of the other waist, then one base angle of the isosceles triangle is equal to______ .


(1) When an isosceles triangle is an acute triangle, the height on the waist is inside the triangle. As shown in the figure, BD is the height on the waist AC of the isosceles triangle ABC, and BD = 12ab. According to the inverse use of the opposite side of the 30 ° angle in a right triangle is equal to half of the hypotenuse, we can see that the top angle is 30 ° and the bottom angle is 75 °



If the angle between the height of a waist and the bottom of an isosceles triangle is 20 degrees, then the vertex degree of the triangle is 20 degrees______ .


As shown in the figure, (1) when the vertex angle is an obtuse angle, ∠ B = 90 ° - 20 ° = 70 °, the vertex angle = 180 ° - 2 × 70 ° = 40 ° is not an obtuse angle and does not conform; (2) when the vertex angle is an acute angle, ∠ B = 90 ° - 20 ° = 70 °, the vertex angle is an acute angle and does not conform



If the angle between the height of a waist and the bottom of an isosceles triangle is 20 degrees, then the vertex degree of the triangle is 20 degrees______ .


As shown in the figure, (1) when the vertex angle is an obtuse angle, ∠ B = 90 ° - 20 ° = 70 °, the vertex angle = 180 ° - 2 × 70 ° = 40 ° is not an obtuse angle and does not conform; (2) when the vertex angle is an acute angle, ∠ B = 90 ° - 20 ° = 70 °, the vertex angle is an acute angle and does not conform



If the waist length of an isosceles triangle is 5cm and the bisector of the vertex angle is 3cm, then the length of its bottom is several centimeters


The bisector of the vertex angle of an isosceles triangle is the height and middle line of the bottom. According to Pythagorean theorem, half of the bottom is 4cm, and the whole bottom is 8cm long



If the waist length of an isosceles triangle is 5 cm and the bisector of the vertex angle is 3 cm, what is the length of its base


Since it is an isosceles triangle, the bisector of the vertex angle is the height of the bottom edge, and the vertical point is the bisector of the bottom edge. Therefore, according to the Pythagorean theorem, we can see that (5's Square) - (3's Square) = (half of the bottom edge's Square) = (4's Square). Since 4 is half of the bottom edge, the length of the bottom edge is 2 × 4 = 8! Remember to give points



If the waist length of an isosceles triangle is 13 and the base length is 10, then the bisector length of the vertex angle is 10______ .


According to the meaning of the title, ad is the bisector of ∠ a, the middle line on the side of BC is also the high line on the side of BC, | BD = 12bc = 5, | ad = 132 − 52 = 12



If an internal angle of an isosceles triangle is 70 degrees, then the degree of the angle between the height of one waist and the bottom is ()
A.35°
B.20°
C. 35 ° or 20 °
D. Not sure


c