What is the perimeter of the isosceles triangle shown below? If necessary, round to the nearest tenth.

A.
22 units
B.
24 units
C.
36 units
D.
32 units

D. 32 units

Step-by-step explanation:

Isosceles measures 11 + 11 + 10 base.

Area = 32 unit sq

We can double check by creating a vortex and new point 90 degree. This is found at central height line.

base = 5 square 25   12 square 144  (144-25=√119) = 10.91

As we can prove that the matching sides are 10.91

= 10.91 +10.91 +12 = 32 with rounding (= 11 +11 + 10 = 32).

= 32units.

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true