Learning online is one of the easiest ways to acquire knowledge of something. For the people who is not going to school or don’t have time to go to school and even for students, online learning is an interactive way of learning Triangle is a three sided polygon. There are many types of triangles. Here we are seeing about solution of right angled triangles. We can use the Pythagoras Theorem for solving a right angled triangle problem.Here we are going to study about how to solve the geometry right triangles problems and its example.
Pythagorean Theorem Calculator
Triangle ABC is right angled at C. So that AB is the hypotenuse and AC and BC are the sides of the right triangle, then the following relation holds true.
c2=a2+b2
Solving Online Geometry Right Triangles - Example Problems.
Example: 1
calculate the length of the hypotenuse of a right angled triangle, given the lengths of the other two sides are 5 inches and 9 inches.
Solution:
We know that Pythagorean Theorem Formula,
a2 + b2=c2
Given:
a = 8
b = 11
c= to find
Substitute the a, b value in this equation,
(82 +112) =c2
Simplify the above we get
64 +121 = c2
185 = c2
Taking square root on both sides,
` sqrt(185)` = 10.60
Therefore the value of hypotenuse is equal to 13.60
Example: 2
Determine whether the given triangle is a right triangle.
Given:
Hypotenuse =10
Adjacent= 8
Opposite= 6
Formula:
c2=a2 + b2
Substitute a, b, c value
(1002) = (82+62)
Simplify the above we get,
100 = 64 +36
100 = 100
So the given triangle is a right angled triangle
Solving Online Geometry Right Triangles - Example: 3
Find the lengths of the hypotenuse of right angled triangle, given the lengths of the other two sides are 7 inches and 9 inches.
Solution:
We know that formula,
a 2 + b2 =c2
Given:
a = 7
b = 9
c = to find
Substitute the a, b value in this equation,
(72 +92) =c2
49 +81 = c2
130 = c2
Taking square root on both sides,
`sqrt(130)` = 11.4
Therefore the value of hypotenuse is 11.4
Pythagorean Theorem Calculator
Triangle ABC is right angled at C. So that AB is the hypotenuse and AC and BC are the sides of the right triangle, then the following relation holds true.
c2=a2+b2
Solving Online Geometry Right Triangles - Example Problems.
Example: 1
calculate the length of the hypotenuse of a right angled triangle, given the lengths of the other two sides are 5 inches and 9 inches.
Solution:
We know that Pythagorean Theorem Formula,
a2 + b2=c2
Given:
a = 8
b = 11
c= to find
Substitute the a, b value in this equation,
(82 +112) =c2
Simplify the above we get
64 +121 = c2
185 = c2
Taking square root on both sides,
` sqrt(185)` = 10.60
Therefore the value of hypotenuse is equal to 13.60
Example: 2
Determine whether the given triangle is a right triangle.
Given:
Hypotenuse =10
Adjacent= 8
Opposite= 6
Formula:
c2=a2 + b2
Substitute a, b, c value
(1002) = (82+62)
Simplify the above we get,
100 = 64 +36
100 = 100
So the given triangle is a right angled triangle
Solving Online Geometry Right Triangles - Example: 3
Find the lengths of the hypotenuse of right angled triangle, given the lengths of the other two sides are 7 inches and 9 inches.
Solution:
We know that formula,
a 2 + b2 =c2
Given:
a = 7
b = 9
c = to find
Substitute the a, b value in this equation,
(72 +92) =c2
49 +81 = c2
130 = c2
Taking square root on both sides,
`sqrt(130)` = 11.4
Therefore the value of hypotenuse is 11.4
I've done lots of homework like this when i was a high school student.You've explained it clearly here.Thank you for posting. This is of great help to the students who wants to learn about Pythagorean Theorem.
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