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Dmitriy789 [7]
3 years ago
6

Triangle MNO is an equilateral triangle with sides measuring units. What is the height of the triangle? a) 12 units b) 24 units

c) 36 units d) 72 units

Mathematics
2 answers:
Alecsey [184]3 years ago
4 0

Answer:

The height of the equilateral triangle is 24 units

Step-by-step explanation:

In the question above, the unit of the side of the equilateral triangle is not given. If the complete question is:

Triangle MNO is an equilateral triangle with sides measuring 16 square root of 3 units, then the length of each side is 16√3 units.

To find the height of the triangle, we use Pythagoras theorem

MP^2 + PO^2 = MO^2

Let MP^2 be x

x^2 + {(16√3)/2}^2 = (16√3)^2

X^2 + (256*3)/4 = 256*3

4x^2 + 768 = 768* 4

4x^2 + 768 = 3072

4x^2 = 3072-768

4x^2 = 2304

X^2 = 2304/4

X^2 = 576

x= √576

x = 24 units

iragen [17]3 years ago
3 0

Answer:

B. 24 units

Step-by-step explanation:

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