Ross calculated the missing side length of one of these triangles using the pythagorean Theorem. Which triangle was it?

Ross calculated the missing side length of the triangle F.

Solution:

Let us first define the Pythagoras theorem.

Pythagoras theorem:

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

So, it is clearly define that Pythagoras theorem is applied for right triangles only.

Right angle is indicated by the symbol "L".

In the given triangles,

E is acute angled triangle.

G is obtuse angled triangle.

H is acute angled triangle.

F is right angled triangle.

Therefore, Pythagoras theorem can be applied only for triangle F.

So Ross calculated the missing side length of the triangle F.

7x − y = 23

Step-by-step explanation:

The equation of line shown using the two points would be:

We know perpendicular line's slope (the number before x) would be "negative reciprocal of this, hence the equation of the perpendicular line would take the form:

Since it goes through (4,5), we can plug in 4 in x and 5 in y to figure out b:

So the equaiton is  y = 7x - 23

In standard form it is: 7x - y = 23