When i am solving for the sides of a right triangle, when will i use pythagorean theorem
2 answers:
Answer:
<em>If we know the lengths of two sides of a right angled triangle, we can find the length of the third side. ... Then we use algebra to find any missing value</em>
Step-by-step explanation:
<em>(Hypotenuse)2 = (Shortest side)2 + (Other side)2</em>
<em />
<em>so</em>
<em>(Longest side)2 = (Shortest side)2 + (Other side) 2</em>
<em />
<em>To find the length of the hypotenuse</em>
<em>1. Sketch triangle and mark hypotenuse</em>
<em>2. Write out Pythagoras' theorem for the triangle</em>
<em> (Hypotenuse)2 = (Shortest side) 2 + (Other side) 2</em>
<em />
<em>3. Solve</em>
<em>4. Write out solution</em>
<em>1a. Reverse this for a or b through subtraction;</em>
<em>So that b ² = c ² - a² or a² = c² - b² </em>
<em>Example attached for you.</em>
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Given the equation:
(1)
We need to find a, b and c. So, we know that a quadratic equation is given by:
(2)
Then, we need to order the equation (1) and to adjust it to the equation (2), so:
So, if we compare these two equations, the conclusion is:
(3)
Substituiting a, b and c into (3):
Finally, the results are two values:
(1)
We need to find a, b and c. So, we know that a quadratic equation is given by:
(2)
Then, we need to order the equation (1) and to adjust it to the equation (2), so:
So, if we compare these two equations, the conclusion is:
(3)
Substituiting a, b and c into (3):
Finally, the results are two values: