MATHEMATICS HIGH SCHOOL

What does the law of cosines reduce to when dealing with a right triangle

Answers

Answer 1
Answer:

Answer:

Pythagoras Theorem

Step-by-step explanation:

For any triangle ABC, the law of cosine is given by

c^2=a^2+b^2-2ab\cos C

Now, let us suppose the triangle ABC is a right triangle having right angle at C.

Thus, C = 90°

Substituting this value in above formula

c^2=a^2+b^2-2ab\cos 90

We know that cos 90°= 0

Thus, the equation becomes

c^2=a^2+b^2-2ab\cdot0\n\nc^2=a^2+b^2

We can see that it reduces to Pythagoras Theorem.

Hence, we can conclude that law of cosines reduce to Pythagoras Theorem when dealing with a right triangle

Related Questions

1.Выполните действия:а) (а^2– 2b)^2б) (-7x — 1)^2в) (-5а +2в^4)^2г) (x-12)(х+ 12)д) (- 4n^3 +7)(4n^3+7)​
If the triangles in the diagram are congruent, what is the value of x?
Find the sum of the given polynomials.7b + 3, -4b + 5, and -3b + 2 answer options are: 10b + 2 10 0 b - 8 I will give Brainliest answer and a thank you.
a section in a stained glass window is shaped like a trapezoid. the top base is 4 centimeters and the bottom base is 2.5 centimeters long. if the area of the section of glass is 3.9 square centimeters. how tall is the section
The volume of cube is 343 cubic centimeters. what is the surface area of the cube? show your work.

Which phrase matches the algebraic expression below? (1 point) 3(x − 7) + 10 Three times the sum of x and seven plus ten Three times x minus seven plus ten Three times x minus the sum of seven and ten Three times the difference of x and seven plus ten

Answers

Answer:Three times the difference of x and seven plus ten

Step-by-step explanation:

If a student spent a total of $83 on tickets ,how many tickets did he buy.? using this funtion below "c=24.50t 9.50

Answers

83=24.50(x)+9.50
83.00-9.50=73.50=24.50x
73.50/24.50=x
x=3 tickets
Your welcome =)

Find the value of the angle and stating the angle pair

Answers