The sides of an isosceles triangle have lengths of 10, 10, and 4. Find the measures of the base angles.

The base angles measure 78.46 degrees to the nearest hundredth.

Step-by-step explanation:

Applying the Cosine Rule:

10^2 = 10^2 + 4^2 - 2.4.10cosX     where X is a base angle.

cos X = (100 - 100 - 16)/ (-80)

cos X = -16/-80

cos X = 0.2

X = 78.463 degrees

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: