find the missing length of the right triangle 17 and 15
If anyone here sees this, your equation will be x^2 + 15^2 = 17^2. This means that the missing side is 8.
Pythagorean theorem
(Side 1)^2 + (Side 2)^2 = Hypotenuse^2
What is the pythagorean theorem formula?
The Pythagorean Theorem formula is:
a^2 + b^2 = c^2
where 'a' and 'b' are the lengths of the two shorter sides of a right triangle, and 'c' is the length of the hypotenuse (the longest side, opposite the right angle).
It states that the sum of the squares of the two shorter sides of a right-angled triangle is equal to the square of the length of the hypotenuse.
(CCSS.G.SRT.8)
Use a Pythagorean theorem to find the value of
c
.
If you have a right triangle, you can use the Pythagorean Theorem to find the value of c, the length of the hypotenuse.
The Pythagorean Theorem states:
a^2 + b^2 = c^2
where 'a' and 'b' are the lengths of the two shorter sides of the triangle, and 'c' is the length of the hypotenuse.
To use this formula to find the value of c, simply substitute the known values of a and b into the formula, then solve for c.
Use the Pythagorean Theorem
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to find the length of the missing sides given ∆ABC . Give the exact answer.
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=
12
a=12,
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=
14
b=14
Using the Pythagorean Theorem,
a^2 + b^2 = c^2
where a = 12 and b = 14.
Substituting these values, we get:
12^2 + 14^2 = c^2
Simplifying:
144 + 196 = c^2
340 = c^2
Taking the square root of both sides, we get:
c = sqrt(340)
Simplifying:
c = sqrt(4*85)
c = 2sqrt(85)
Therefore, the missing side (the hypotenuse) is 2sqrt(85) units long.
To find the missing length of a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, one of the sides of the triangle is given as 17 and the other side is given as 15. Let's call the missing side length x. Applying the Pythagorean theorem, we have:
x^2 = 17^2 + 15^2
To solve this equation, we can calculate:
x^2 = 289 + 225
x^2 = 514
To find x, we need to take the square root of both sides of the equation:
x = √514
Using a calculator or math software, we find that x is approximately 22.68. So, the missing length of the right triangle is approximately 22.68.