Pythagorean theorem
(Side 1)^2 + (Side 2)^2 = Hypotenuse^2
find the missing length of the right triangle 17 and 15
8 answers
If anyone here sees this, your equation will be x^2 + 15^2 = 17^2. This means that the missing side is 8.
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.
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
.
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.
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
�
2
+
�
2
=
�
2
a
2
+b
2
=c
2
to find the length of the missing sides given ∆ABC . Give the exact answer.
�
=
12
a=12,
�
=
14
b=14
�
2
+
�
2
=
�
2
a
2
+b
2
=c
2
to find the length of the missing sides given ∆ABC . Give the exact answer.
�
=
12
a=12,
�
=
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.
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.
1 answer