A bug dug 60 inches straight down below ground and then continued digging 144 inches parallel to the ground. Finally, he realized that he should have stayed with his family and turned back. What is the shortest distance to dig diagonally through dirt to get to his family ?

156 inches is the shortest distance to dig diagonally through dirt to get to his family.

Step-by-step explanation:

This forms the angle 90° between the two lines.

After he realized to turn back., the shortest distance is to dig diagonally.

This forms the hypotenuse side of the triangle.

Therefore, the given data can be assumed as a right angled triangle.

To find the diagonal path (hypotenuse) :

Use the Pythagorean triplets for right angle triangle,

We know that the triplet is (5,12,13).

Therefore, the third side hypotenuse must also be a multiple of 12.

From the triplets (5,12,13), the hypotenuse is 13 and it is multiplied by 12.

Diagonal path ⇒ 13 × 12 = 156  inches.

∴ 156 inches is the shortest distance to dig diagonally through dirt to get to his family.

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: