Find the area of the smallest side of the right triangle. Show your work. Box your answer.
1 answer:
Answer:
25 ft²
Step-by-step explanation:
The hypotenuse = = 13 ft
the side with area 144 ft² = = 12 ft
Using Pythagoras' identity to find the third side x ( smallest )
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = = 5
Thus area of smallest side = 5² = 25 ft²
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B. Perimeter of a square and
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Step-by-step explanation:
if n= side length of square then
- Area of square is
- Perimeter of a square is 4×n
- diagonal length of a square is
× n
Thus,
Perimeter of square can be expressed as
×diagonal length of a square
Side length of a square can be expressed as
×diagonal length of a square
but Area of square is
×n×diagonal length of a square
As a Result, Area of square is <em>also dependent of the value n</em>, wheras in other cases it is <em>a proportion of diagonal length of a square</em>