Question

In triangle ABD

, AB
is 3 cm
long and BD
is 5 cm
long. According to the Triangle Inequality Theorem, which two lengths are possible lengths of AD
?
wright an equation for this

Answer 1

[AI-generated answer — Bot GPT 3.5]

Possible lengths of AD are 2 cm and 8 cm.

The Triangle Inequality Theorem states that for any triangle with sides of lengths a, b, and c, the sum of the lengths of any two sides of the triangle must be greater than the length of the third side.

So for triangle ABD, we have:
AB + AD > BD
3 + AD > 5
AD > 2

And:
AD + BD > AB
AD + 5 > 3
AD > -2

Therefore, the possible lengths of AD are 2 cm and 8 cm.

Equation: 2 < AD < 8