SOLUTION: 1. Find the area of an equilateral triangle if each side measures 12 cm. A.24 cm^2 B.36 cm^2 C.24√3 cm^2 D.36√3 cm^2 E.40√2 cm^2 2. Find the area of an is

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Question 921447: 1. Find the area of an equilateral triangle if each side measures 12 cm.
A.24 cm^2
B.36 cm^2
C.24√3 cm^2
D.36√3 cm^2
E.40√2 cm^2
2. Find the area of an isosceles triangle if the measure of the congruent sides is 10 cm each and the altitude is 8 cm.
A.12 cm^2
B.24 cm^2
C.24 cm^2
D.48 cm^2
E.54 cm^2

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
1. Here is the triangle ( = height in centimeters):
according to the Pythagorean theorem
---> ---> ---> ---> ---> ---> --->
The area of a triangle is calculated as , so for this triangle
---> square centimeters.

2. Here is the triangle ( = length of half of the base, in cm):
according to the Pythagorean theorem
---> ---> ---> ---> ,
so the base of the triangle measures
The area of a triangle is calculated as , so for this triangle
---> square centimeters.

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