It is known that a right triangle has an acute angle of 25 degrees, and the smallest right edge is 5?

It is known that a right triangle has an acute angle of 25 degrees, and the smallest right edge is 5?


eleven point eight three
Bevel = 5 / sin25 = 5 / 0.4226 = 11.83



In a right triangle, one acute angle is known to be 50 ° and the other acute angle is______ .


Because one acute angle in a right triangle is 50 degrees, the other acute angle is 90-50 degrees = 40 degrees



In a right triangle, the larger acute angle is four times of the smaller acute angle. How many degrees is the smaller acute angle?


Because the larger acute angle is 4 times of the smaller acute angle, that is, the degree ratio of the larger acute angle to the smaller acute angle is 4:1, so the degree of the smaller acute angle is: 90 °× 14 + 1 = 18 °; a: the smaller acute angle is 18 degrees



An isosceles triangle has a base angle of 80 degrees, and its apex angle is______ One acute angle of a right triangle is 75 degrees, and the other acute angle is 75 degrees______ Degree


(1) 180-80 × 2 = 180-160 = 20 (degrees); (2) 90-75 = 15 (degrees); so the answer is: 20, 15



In a right triangle, the bigger one is twice the smaller angle. How many degrees are the two acute angles
Requirement: there is formula, no X,


90÷(2+1)=30°
90-30=60°
A: the two acute angles are 30 degrees and 60 degrees respectively



In a right triangle, the larger acute angle is four times of the smaller acute angle. How many degrees are the two acute angles of the triangle?


Small acute angle: 90 (1 + 4) = 18 degrees
Large acute angle: 18x4 = 72 degrees



In a right triangle, the larger acute angle is the second of the smaller acute angle. How many degrees are the two acute angles
There should be a formula


The smaller one is 90 (2 + 1) = 30 degrees
The big one is 30 × 2 = 60 degrees



It is known that, as shown in the figure, in RT △ ABC, ∠ C = 90 ° and three isosceles right triangles are made outwards with three sides of RT △ ABC as hypotenuse, where ∠ h, ∠ E and ∠ f are right angles. If hypotenuse AB = 3, then the area of shadow part in the figure is ()
A. 1B. 2C. 92D. 13


According to the area calculation method of isosceles right triangle, the area of △ AEB is 12 × ab · 12ab = ab24, △ AHC is 12 × AC · 12ac = AC24, △ BCF is 12 × BC · 12bc = bc24, the area of △ shadow is 14 (AB2 + ac2 + BC2) = 12ab2, ∵ AB = 3, the area of △ shadow is 12 × 32 = 92



Given that in RT △ ABC, ∠ C = 90 °, cosa = 35, C = 20, find the degree of the two acute angles and the length of the two right sides of the right triangle


∵∠C=90°,cosA=35,∴b=c•cosA=20×35=12,∴a=c2−b2=202−122=16,∵cosA=35=0.6,∴∠A≈53°8′,∴∠B=90°-∠A≈90°-53°8′=36°52′.



In RT △ ABC, the opposite sides of ∠ a, B and C are a, B, C ∠ C = 90 ° cosa = 3 / 5, a = 2 respectively, and the value of B + C is obtained


Cos a = 3 / 5, let B = 3x, C = 5x, Pythagorean a = 4x, and because a = 2, x = 1 / 2, so B + C = 8x = 4