A triangle which measures 63cm, 216cm, and 224cm respectively. Is it a right triangle?

Question

How do I prove if it is a right triangle?

Answer 1

Brian M . I assume you made a Typing error. you put 224 cm When it should be 225 cm

Pythagorean Theorem

c² = a² + b²

√c² = √(63)² + (216)²

√c² = √3969 + 46656

√c² = √50625

c = 225 cm

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Answer 2

It is not a right triangle.

It is a right triangle if, and only if, the square of the short sides add up to the square of the long side.

63^2 + 216^2 = 3969 + 46656 = 50625
but ...
224^2 = 50176

50625 does not equal 50176, so this is not a right triangle.

But if the long side was 225 cm, then it would be.
225^2 = 50625

By the way, you're supposed to leave a space between the number and the "cm" part.

Answer 3

To know if it´s is a right triangle you have to use the Pythagoras theorem which is:
a² + b² = c²
The hypotenuse is the bigger side (which is 224 cm)
so just check.
63² + 216² = 224²
This sentence is not true so this is not a right triangle.

I hope I helped you!

Answer 4

Hello Brain M

To prove the given sides as a right angled triangle we have to use pythogorean theorem that is a^2 +b^2=h^2

(63)^2+(216)^2 should be equal to (224)^2 but it is not equal hence they does not right angled triangle.

if you want to know more abt this right angled triangle

http://www.mcs.surrey.ac.uk/Personal/R.Knott/Pythag/pythag.html see this site

Answer 5

See if the numbers fit the Pythagorean Theorem. Does a²+b²=c²?

Answer 6

nope