Question

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle

and two congruent triangles. As a result, the altitude cuts the base into two equal
segments. The length of the altitude is 18 inches, and the length of the base is 15
inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.

Answer 1

• 54 in

Explanation:

Use Pythagorean to find the missing side x of the triangle.

It is a hypotenuse with other sides 18 in and half of 15 in:

• 
  `x = √(18^2+(15/2)^2) =√(380.25) =19.5`

The perimeter is:

• P = 2*19.5 + 15 = 54