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Two side lengths of a triangle measure 8
cm and 15 cm. Select all measurements that could be the length of the third
side of the triangle.
A) 23 cm
B) 7 cm
C) 8 cm
D 30 cm
E) 16 cm
F) 20 cm
G) 12 cm
H) 15 cm

Two Side Lengths Of A Triangle Measure 8 Cm And 15 Cm Select All Measurements That Could Be The Length Of The Third Side Of The Triangle A 23 Cm B 7 Cm C 8 Cm D class=

Sagot :

Answer:

Correct option is C)

⇒  The sum of the lengths of any two sides in a triangle is always greater than the length of the third side in the triangle.

⇒  The differnce of the lengths of any two sides in a triangle is always lesser than the length of the third side in the triangle.

⇒  The difference between 4cm and 7cm is

3cm and their sum is 11cm.

⇒  To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 3cm and lesser than 11cm.

⇒  So from the given options 6cm is less than

11cm and greater than 3cm

∴  The length of the third side of triangle is 6cm

Step-by-step explanation:

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