A right triangle is a triangle with one angle measuring 90°. In a right triangle, the lengths of the sides are

Question

6) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the lengths of the sides are related by the Pythagorean Theorem, c2 = a2 + b2, where c is the length of the hypotenuse (the side opposite the 90° angle). Find the length of the hypotenuse when the other two sides’ measurements are 6 feet and 8 feet.

Answer 1

Pythagorean Theorem

c²= a² + b²

√c² = √(6)² + (8)²

√c² = √36 + 64

√c² = √100

c = 10 feet

- - - - - - - -s-

Answer 2

The Pythagorean Theorem is one way to find the hypotenuse. There is, however, another method to solving the stated problem. One can notice that the said triangle is similar to a triangle with sides of 3 and 4, making the said triangle a 3-4-5 triangle. Since the given triangle is doubly proportioned compared to the 3-4-5 triangle, the hypotenuse would be five doubled, which is 10.

Answer 3

So a and b are the other two sides.

6 feet squared = 36 feet
8 feet squared = 64 feet
64 feet + 36 feet = 100 feet

So hypotenuse squared = 100 feet
Therefore hypotenuse = square root of 100 feet
= 10 feet

So the hypotenuse is 10 feet long.

Answer 4

Let A and B be two of the sides and C be the hypotenuse:

A^2 + B^2 = C^2
6^2 + 8^2 = C^2
36 + 64 = C^2
100 = C^2
C^2 = 100
C = √100
C = 10

The hypotenuse is 10 feet long.

Good luck.

Answer 5

in case you employ the pythagorean theorem, that's particularly common. A^2 + B^2 = C^2. it particularly is that in case you opt for to instruct your artwork. yet bear in mind, there are some suited triangles which you would be able to memorize and not could do the artwork. listed under are a pair: If the standards of a triangle are multiples of three and four (ie 6,8), then the hypotenuse is the corresponding different of 5. additionally, if the standards lengths are 5 and 12, the comparable rule applies for 13.

Answer 6

6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
c = 10

Answer 7

(c)2=(a)2+(b)2
(c)2=(6x6)+(8x8)
(c)2=36+64
(c)2=100
c=10 ( 10 is the square root of 100)

Answer 8

10 feet.