The length of each of the two equal sides of an isosceles triangle is 89 cm each and the
length of its base is 78 cm. The area (in cm²) of the triangle is:
-
A.
3120
-
B.
3134
-
C.
3102
-
D.
3139
Correct Answer:
A. 3120
Explanation:
To find the area of the isosceles triangle, first calculate its altitude by bisecting the 78 cm base into two 39 cm segments to create a right triangle. Using the Pythagorean theorem, the height is the square root of 89 squared minus 39 squared, which results in 80 cm. Multiplying half of the base by this height (0.5 x 78 x 80) gives a total area of 3120 square centimeters.
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