Look at the figure. find the length of hp

Properties of Isosceles triangle:

It has two two equal side length.

Corresponding angles to these sides are equal.

As per the statement:

The triangle PHJ as shown in the figure.

Here, HP = 3x-6 unit and PJ = x+2 units

Since, the angles and are equal

then;

by Properties of Isosceles triangle, we have;

⇒

Subtract x from both sides we have;

⇒

Add 6 to both sides we have;

Divide both sides by 2 we have;

x = 4

Substitute in HP we have;

HP = 3x-6 = 3(4)-6= 12-6 = 6

Therefore, the length of HP is, 6 units

this was already solved by me with a different person. if you look it up in the search bar at the top of the page, you will get the answer.

step-by-step explanation: