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Pythagorean Thereom
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∙ 12y ago
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How do you find the base of a triangle if is not given?
You use trigonometry. If the triangle is a right triangle, then you can use the Pythagorean theorem (a2 + b2 = c2 where c is the hypotenuse). This requires you to know two of the sides of the triangle. You can also use the relationship: sin A = a/c cos A = b/c tan A = a/b where "A" is a non-right angle of a right triangle, "a" is the length of the side opposite of the angle "A", "b" is the length of the side adjacent to the angle "A" and "c" is the length of the hypotenuse. If the triangle is NOT a right triangle, you can use the law of sines or the law of cosines. The law of sines: a /sin A = b / sin B = c / sin C where "a" is the side opposite of angle "A", "b" is the side opposite of angle "B" and "c" is the side opposite of angle "C". The law of cosines: a2 = b2 + c2 - b*c*cos A b2 = a2 + c2 - a*c*cos B c2 = a2 + b2 - a*b*cos C where "c" is the hypotenuse, "a" and "b" are the other sides of the triangle and "C" is the angle opposite of "c", "B" is the angle opposite of "b" and "A" is the angle opposite of "a".
What is the formula commonly used to represent the pythagorean theorem?
A squared + b squared = c squared For a right triangle A b c side lengths For a and b legs of the triangle C hypotenuse of triangle which is the side opposite the right angle
What is the area of oblique triangles?
Use the Hero's formula: Let s = (a + b + c)/2. Then the area of the triangle equals√[s(s - a)(s - b)(s - c)], where a, b, and c denote the sides of the triangle.
What is Heron's formula of triangle?
Area of triangle=√(s-a)(s-b)(s-c)
What if the pythagorean theorem gives you a triangle that is not right?
The pythagorean theorem is only used for a right triangle. Formula: a^2+b^2=c^2 the "a" and "b" represent the legs of the triangle and the "c" represents the hypotenuse.
What is the third interior angle of triangle?
Let the angles be a, b and c There are 180 degrees in a triangle: 180-(a+b) = c 180-(a+c) = b 180-(b+c) = a
Can an equiangular triangle be scalene?
No. An equiangular triangle is always equilateral. This can be proven by the Law of Sines, which states that sin A / a = sin B / b = sin C / c, where A, B and C are angles of a triangle and a, b and c are the opposing sides of their corresponding angles. If A = B = C, then sin A = sin B = sin C. Therefore for the equation to work out, a = b = c. Therefore the eqiangular triangle is equilateral, and therefore not scalene, which requires that all sides of the triangle be of different lengths.
How do you find a leg in a right triangle?
In a right the triangle with legs a, b and hypotenuse c, a^2 = c^2 - b^2 or b^2 = c^2 - a^2.
What is the semipremeter of a triangle?
If the lengths of the sides are a, b, and c then it is (a + b + c)/2.
How do you find the base of a triangle if is not given?
You use trigonometry. If the triangle is a right triangle, then you can use the Pythagorean theorem (a2 + b2 = c2 where c is the hypotenuse). This requires you to know two of the sides of the triangle. You can also use the relationship: sin A = a/c cos A = b/c tan A = a/b where "A" is a non-right angle of a right triangle, "a" is the length of the side opposite of the angle "A", "b" is the length of the side adjacent to the angle "A" and "c" is the length of the hypotenuse. If the triangle is NOT a right triangle, you can use the law of sines or the law of cosines. The law of sines: a /sin A = b / sin B = c / sin C where "a" is the side opposite of angle "A", "b" is the side opposite of angle "B" and "c" is the side opposite of angle "C". The law of cosines: a2 = b2 + c2 - b*c*cos A b2 = a2 + c2 - a*c*cos B c2 = a2 + b2 - a*b*cos C where "c" is the hypotenuse, "a" and "b" are the other sides of the triangle and "C" is the angle opposite of "c", "B" is the angle opposite of "b" and "A" is the angle opposite of "a".
What is the formula commonly used to represent the pythagorean theorem?
A squared + b squared = c squared For a right triangle A b c side lengths For a and b legs of the triangle C hypotenuse of triangle which is the side opposite the right angle
Write a program in c to display isosceles triangle dy digit?
#include<stdio.h> #include<conio.h> void main() { int a,b,c; clrscr(); printf("\n Enter the 3 sides of Triangle: "); scanf("%d %d %d",&a,&b,&c); printf("\nYour entered side is a=%d b=%d c=%d",a,b,c); if(a==b && b==c && a==c) { printf("\n EQUILATERAL TRIANGLE.");//All sides equal in case of Equilateral triangle } else if(a!=b&&b!=c) printf("\n SCALENE TRIANGLE."); //All sides unequal else printf("\n ISOCELES TRIANGLE."); //At least 2 sides equal getch(); }
What was the formula for perimeter for a triangle?
a + b + c
What is the order of rotation of a triangle?
A, B, then C
Midpoint of hypotenuse of right triangle?
a^2 + b^2 = c^2 a and b are the distances for the side of the triangle and c is the hypotenuse(long side)
What is the formula for finding the perimeter of a triangle?
you add the sides together . a /\b a+b+c /_\ c
How do you find the sides of a right triangle?
Use Pythagorean theorem if you have a right triangle with legs a and b and hypotenuse c. a^2+b^2=c^2 a=sqrt(c^2-b^2) it is possible to find b and c in a similar way.
