Question

FGH is a right triangle. True or False?

Answer 1

Your mouse pointer is covering the number at the hypotenuse, but I assume that it is 10.

We can test to see if the triangle is a right angled triangle by using Pythagoras' Theorem. This is because the Pythagorean Theorem only works with right angled triangles.

The theorem is:

`a^(2) + b^(2) = c^(2)`

where:

a = length of one leg of the triangle

b = length of the other leg of the triangle

c = the length of the hypotenuse.

If triangle FGH is a right triangle then:

`√(51)^ {2} + 7 ^(2) = 10^(2)`

`√(51) ^(2)` is just 51

`7^(2)` is 49

and
`10^(2)` is 100

if we add up 51 and 49 we get 100. And of course, 100 = 100,

Since the theorem works, then the FGH is a right triangle

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Answer:

True: FGH is a right angled triangle