An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. Find the height of the triangle. Leave your answer in simplified radical form.

5√15cm or 19.36cm

Step-by-step explanation:

An isosceles triangle has two congruent sides.

The height of an isosceles triangle is also the median and the perpendicular bisector of the triangle dividing the base in half and forming two congruent right triangles.

a squared + b squared = c squared

5 squared + h squared = 20 squared

25 + h squared = 400

h squared = 375

h =√375

h = 5√15 cm

h = 19.36 cm

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of

noncoplanar points are points that do not lie on the same line.