Given: ab ⊥ l, b ∈ l, m ∈ ab , am = 7 in, ab = 15 in. find the distance between point m and line l.

AB ⊥ l, B ∈ l, M ∈ AB , AM = 7 in, AB = 15 in.

Here AB is a line segment which is perpendicular to line I.

Point B lies on line I,and Point B lies on line segment AB.

⇒AB=15 [Given]

⇒AM+MB=15

⇒AM=7[given]

⇒7+MB=15

⇒MB=15-7

⇒MB=8in

So,the length of line segment MB is 8 in.

The same thing is depicted in the diagram.

That is an obtuse scalene triangle

Step-by-step explanation:

Scalene- has no congruent sides

Obtuse - has an angle that is greater than 90

we can use Pythagorean theorem to confirm this

The Pythagorean theorem states that in an obtuse triangle the hypotenuse squared is greater than the two legs squared added together

so basically

therefore it is an obtuse scalene