Solution of triangles Questions and Answers

To prove a theorem of geometry using rule-based systems, represent the following statements as production rules: a. Corresponding sides of two congruent triangles are also congruent. b. Corresponding angles of two congruent triangles are also congruent. c. If corresponding sides of two triangles are congruent then the triangles are congruent. d. If corresponding sides and the angle covered by them are equal then the triangles are congruent. e. Base angles of an isosceles triangle are congruent.
Geometry
Solution of triangles
To prove a theorem of geometry using rule-based systems, represent the following statements as production rules: a. Corresponding sides of two congruent triangles are also congruent. b. Corresponding angles of two congruent triangles are also congruent. c. If corresponding sides of two triangles are congruent then the triangles are congruent. d. If corresponding sides and the angle covered by them are equal then the triangles are congruent. e. Base angles of an isosceles triangle are congruent.
In a slanted parallelpipedum known as the pedestal has a rhombus form with length of the edge is a cm and the acute two sided with the pedestal is 30 degrees. Known as one of the diagonal side on the upright parallelepipedum with pedestal. If the edge side is 2a cm. Find the volume of parallelepipedum ABCD.EFGH
Geometry
Solution of triangles
In a slanted parallelpipedum known as the pedestal has a rhombus form with length of the edge is a cm and the acute two sided with the pedestal is 30 degrees. Known as one of the diagonal side on the upright parallelepipedum with pedestal. If the edge side is 2a cm. Find the volume of parallelepipedum ABCD.EFGH
Solve triangle ABC if ^A = 43.2°, a = 188.4, and b = 248.6. sin B = (round answer to 5 decimal places) There are two possible angles B between 0 and 180" with this value for sine. Find the two angles, and report them so that ^B₁ is the acute angle. ^B1= and ^B₂ = (round these and all remaining answers to 1 decimal place) Thus, two triangles satisfy the given conditions: triangle A₁B₁C₁ and triangle A2B2C2. Solve the first triangle: A₁B₁C₁ ^C₁ and c₁ = Solve the second triangle: A₂ B₂C2 ^C₂= and c2 =
Geometry
Solution of triangles
Solve triangle ABC if ^A = 43.2°, a = 188.4, and b = 248.6. sin B = (round answer to 5 decimal places) There are two possible angles B between 0 and 180" with this value for sine. Find the two angles, and report them so that ^B₁ is the acute angle. ^B1= and ^B₂ = (round these and all remaining answers to 1 decimal place) Thus, two triangles satisfy the given conditions: triangle A₁B₁C₁ and triangle A2B2C2. Solve the first triangle: A₁B₁C₁ ^C₁ and c₁ = Solve the second triangle: A₂ B₂C2 ^C₂= and c2 =
The angle of elevation to the top of a Building in New Yorkis found to be 5 degrees from the ground at a distance of 2miles from the base of the building. Using this information,find the height of the building. Round to the tenths.
Geometry
Solution of triangles
The angle of elevation to the top of a Building in New Yorkis found to be 5 degrees from the ground at a distance of 2miles from the base of the building. Using this information,find the height of the building. Round to the tenths.
A pilot flies in a straight path for 1 h 30 min. She thenmakes a course correction, heading 10 degrees to the rightof her original course, and flies 2 h in the new direction. Ifshe maintains a constant speed of 700 mi/h, how far is shefrom her starting position? Your answer is_______Enter your answer rounded to two decimal places
Geometry
Solution of triangles
A pilot flies in a straight path for 1 h 30 min. She thenmakes a course correction, heading 10 degrees to the rightof her original course, and flies 2 h in the new direction. Ifshe maintains a constant speed of 700 mi/h, how far is shefrom her starting position? Your answer is_______Enter your answer rounded to two decimal places
In triangle ABC, the measure of angle C is 25 degrees more than angle A. The measure of angle B is 30 degrees less than the sum of the other angles. Find the measure of angle B.
Geometry
Solution of triangles
In triangle ABC, the measure of angle C is 25 degrees more than angle A. The measure of angle B is 30 degrees less than the sum of the other angles. Find the measure of angle B.
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