Answer:
53. ±6
51. 2
Step-by-step explanation:
According to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], in this case, evaluate everything in grouping symbols first, then evaluate the exponents to avoid confusion:
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Given:
The right triangular prism.
Height of prism = 28 in.
Hypotenuse of base = 25 in.
leg of base = 24 in.
To find:
The lateral surface area of the prism.
Solution:
Pythagoras theorem:
Using Pythagoras theorem in the base triangle, we get
The perimeter of the triangular base is:
Lateral area of a triangular prism is:
Where, P is the perimeter of the triangular base and h is the height of the prism.
Putting in the above formula, we get
Therefore, the lateral area of the prism is 1568 in².
