Answer:
Step-by-step explanation:
The altitude to the hypotenuse of a right triangle create two smaller triangles, all of which are similar to the original. This means corresponding sides are proportional.
3. Using the above relationship, ...
short-side/hypotenuse = 8/y = y/(8+23)
y^2 = 8·31
y = 2√62
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long-side/hypotenuse = z/(8+23) = 23/z
z^2 = 23·31
z = √713
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short-side/long-side = 8/x = x/23
x^2 = 8·23
x = 2√46
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4. The picture is fuzzy, but we think the lengths are 25 and 5. If they're something else, use the appropriate numbers. Using the same relations we used for problem 3,
y = √(5·25) = 5√5 . . . . . . . = √(short segment × hypotenuse)
z = √(20·25) = 10√5 . . . . . = √(long segment × hypotenuse)
x = √(5·20) = 10 . . . . . . . . . = √(short segment × long segment)
Answer: length: 7cm
width:4cm
Step-by-step explanation:
Area: L × W
7×4=28
Perimeter =L±L+W+W
7+7+4+4=22
Answer:
The length is 6 feet and the width is 4 feet
Step-by-step explanation:
Let x represent the length of the yard
The width can be represented by x - 2, since it is 2 less than the length.
Use the perimeter formula, P = 2l + 2w, where l is the length and w is width
Plug in the expressions and perimeter:
20 = 2x + 2(x - 2)
Solve for x:
20 = 2x + 2x - 4
20 = 4x - 4
24 = 4x
6 = x
So, the length is 6. Plug this into x - 2 to find the width
x - 2
6 - 2
= 4
So, the length is 6 feet and the width is 4 feet
Answer:
A
Step-by-step explanation:
Because if you did the math it's A
I'm 100% Sure