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The lengths of two sides of an isosceles triangle are 8 and 10. The length of the third side could beA. either 8 or 10B. 6, onlyC. 8, onlyD. 10, only

User KyleLib
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1 Answer

11 votes
11 votes

From Triangle Inequality Theorem

The sum of any 2 sides of a triangle must be greater than the measure of the third side.

The sum of 2 sides is less than (or equal to) the measure of a third side.

In an isosceles triangle, two sides are equal.

Then we have an option the third side= 8. Let's analyze!

c+a> b - for a and c =8

8+8 > 10

16> 10

The second option is the third side= 10. Let's analyze!

c+a> b - for a and c =10

10+10> 8

20> 8

Answer

A. either 8 or 10

User Ivan Loire
by
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