The answer, in short, is that the short leg equals 15 mm, the long leg equals 20 mm, and the hypotenuse equals 25mm. but if you'd like to see how I solved it, here are the steps.
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The Pythagorean theorem (also known as Pythagoras's Theorem) can be used to solve this. This theorem states that one leg or a right triangle squared plus the other side of that same triangle squared equals the hypotenuse of that triangle squared. To put it in equation form, L² + L² = H².
Let's call the longer leg B, the shorter leg A, and the hypotenuse H.
From the question, we know that A = B - 5, and H = B + 5.
So if we put those values into an equation, we have (B - 5)² + B² = (B + 5)²
Now, to solve. Let's square the two terms in parentheses first:
(B² - 5B - 5B + 25) + B² = B² + 5B + 5B + 25
Now combine like terms:
2B² -10B + 25 = B² + 10B + 25
And now we simplify. Subtract 25 from each side:
2B² - 10B = B² + 10B
Subtract B² from each side:
B² - 10B = 10B
Add 10B to each side:
B² = 20B
And finally, divide each side by B:
B = 20
So that's the length of B. Now to find out A and H.
A = B - 5, so A = 15.
H = B + 5, so H = 25.
And your final answer is A = 15mm, B = 20mm, and H = 25mm
Answer:
this Answer is
Step-by-step explanation:
2(3x+1) ≤ 20
6x+1≤20
6x≤19
x≤19/6
4(x−1)<2
4x-1<2
4x< 3
x< 3/ 4
Answer:
Step-by-step explanation:
Given quadratic equation:

The solution of the given quadratic eqn is given by using Sri Dharacharya formula:

The above solution is for the quadratic equation of the form:

From the given eqn
a = 1
b = 3
c = 
Now, using the above values in the formula mentioned above:



Now, Rationalizing the above eqn:


Solving the above eqn:

Solving with the help of caculator:

The precise value upto three decimal places comes out to be:

Answer:
slope=2
Step-by-step explanation:
rise over run: so y2-y1/x2-x1
So, 4-2/2-1 = 2/1=2
slope=2