Question

The lengths of two sides of a triangle are 12cm and 15cm. Between what two measures should the length of the third side fall ?​

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7th

Maths

The Triangle and Its Properties

Angle Sum Property

The lengths of two sides of...

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The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?

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ANSWER

Let AB,BC and CA are the sides of triangle ABC

Given that,

Given that,Let AB=15cm,BC=12cm and Third side CA=?

Given that,Let AB=15cm,BC=12cm and Third side CA=?Then, We know that

Given that,Let AB=15cm,BC=12cm and Third side CA=?Then, We know thatCA=AB−BC

Given that,Let AB=15cm,BC=12cm and Third side CA=?Then, We know thatCA=AB−BCCA=15−12

Given that,Let AB=15cm,BC=12cm and Third side CA=?Then, We know thatCA=AB−BCCA=15−12CA=3cm.

Given that,Let AB=15cm,BC=12cm and Third side CA=?Then, We know thatCA=AB−BCCA=15−12CA=3cm.And

Given that,Let AB=15cm,BC=12cm and Third side CA=?Then, We know thatCA=AB−BCCA=15−12CA=3cm.AndCA=AB+BC

Given that,Let AB=15cm,BC=12cm and Third side CA=?Then, We know thatCA=AB−BCCA=15−12CA=3cm.AndCA=AB+BCCA=15+12

Given that,Let AB=15cm,BC=12cm and Third side CA=?Then, We know thatCA=AB−BCCA=15−12CA=3cm.AndCA=AB+BCCA=15+12CA=27cm.

Given that,Let AB=15cm,BC=12cm and Third side CA=?Then, We know thatCA=AB−BCCA=15−12CA=3cm.AndCA=AB+BCCA=15+12CA=27cm.So the third side CA must lie between 3<CA<27cm.

Given that,Let AB=15cm,BC=12cm and Third side CA=?Then, We know thatCA=AB−BCCA=15−12CA=3cm.AndCA=AB+BCCA=15+12CA=27cm.So the third side CA must lie between 3<CA<27cm.Hence, this is the answer.

Given that,Let AB=15cm,BC=12cm and Third side CA=?Then, We know thatCA=AB−BCCA=15−12CA=3cm.AndCA=AB+BCCA=15+12CA=27cm.So the third side CA must lie between 3<CA<27cm.Hence, this is the answer.How satisfied are you with the answer