A right triangle has a hypotenuse of 8 feet. One leg has a length of 5 feet. How long is the other leg? A. 5 ft.
B. V39 ft
C. V89 ft
D. 13 ft.

THEOREM:

Pythagorean theorem:– In a right angled triangle, the sum of squares of two legs is equal to the square of hypotenuse.

ANSWER:

Let the other leg be p, by pythagorean theorem

p² = h² - b²

p² = (8)² - (5)²

p² = 64 - 25

p² = 39

p = √39 ft.

So, Correct choice - [B] √39 ft.

B

Step-by-step explanation:

The formula a^2 + b^2 = c^2 can be used to find any of the legs of the triangle. a and b are legs of the triangle and c is the hypotenuse. We can substitute known values into the equation:

a^2 + b^2 = c^2

one leg is 5 so we can substitute that. And c, the hypotenuse, is 8.

5^2 + b^2 = 8^2

Now solve for b.

First, square 5 and 8

25 + b^2 = 64

Subtract 25 from both sides

b^2 = 39

Take the square root of both sides

b = √39

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

the answer to this is a. a^2 + b^2 = c^2