If i have a hypotenuse of 40 ft. and a height of 24 ft., how do i find my base measurement?

Answer 1

a² + b² = c²

or

base² + height² = hypotenuse²

==========================

height = 24 ft

hypotenuse = 40 ft

==========================

base² + (24 ft)² = (40 ft)²

or

base² = ( (40)² - (24)² ) ft²

or

base² = (1600 - 576) ft²


or

base = √(1600 - 576) ft

or

base = √(1024) ft

or

┏━━━━━━━┓
┃✓ base = 32 ft.┃
┗━━━━━━━┛


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Answer 2

You use what is called the Pythagorean Theroem that states a^2 + b^2 = c^2 where c is your hypotenuse. So you just do some simple algebra to learn that

24^2 + b^2 = 40^2

then subract 24^2 from both sides then square root whatever is left and you have an answer!

Answer 3

40² = 24² + x²
x² = 40² - 24²
x² = (40 - 24) (40 + 24)
x² = (16) (64)
x = (4) (8) ft
x = 32 ft

Answer 4

40 Squared = 24 Squared + X
X = 40 Squared - 24 Squared
X = 1024
Square root of 1024 = 32
Your base is 32
Sorry I don't have indices on my computer

Answer 5

a2 + b2 = c 2
40 *40= 1600
24*24= + 576
= 2176

dont forget to square root, 2176 (sqrt) = 46.65

Answer 6

Oh no! 2 answers: 4 feet and the square root of 2176

At first it was square root of 2176 then 4 ft...Mixed up in my head, sorry guy...

Answer 7

Answer is 32. A right angled triangle has proportions of 3.4.5. so 24=3x8, 40=5x8, therefore base is 4x8=32.

Answer 8

a squared + b squared = c squared.

a squared + 24 squared = 40 squared

a squared = 1024

the square root of a squared = the square root of 1024

a = 32

The base is 32 feet.

Answer 9

it's a 3,4,5 triangle in disguise.

Divide 8 into each of the numbers you already have

you get 5,3 so the third one must be 4 x 8 = 32 ft.

Answer 10

c^2=a^2+b^2

c=40
a=24

Good ol' pythagorean theorem :)