A triangle has side lengths of 3cm, 4cm, and, 6cm. Is it a right triangle explain?

Expert Solution

Let us assume

Hypotenuse(h) = 6cm

Base(b) = 3cm

Altitude(a) = 4cm

According to the Pythagoras theorem,

Hypotenuse2 = Altitude2 + Base2

h2 = a2 + b2

⇒ h2 = 3² + 4²

= 9 +16 = 25

According to given hypotenuse h,

h2 = 62 = 36

The measures do not match

We cannot have a right triangle with the given measures.

No these sides do not represnt right angle triangle.

Nikhil Thakur answered 2 years ago

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