Question

The lengths of two sides of a triangle are 26

Answer 1

Answer:

$22\ m < x < 74\ m$

Step-by-step explanation:

Let

x ----> the length for the third side

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) $26+48> x$

solve for x

$74> x$

Rewrite

$x < 74\ m$

2) $26+x>48$

solve for x

subtract 26 both sides

$x> 22\ m$

therefore

The range of  possible lengths, in meters, for the third side is equal to

$22\ m < x < 74\ m$