Please answer two math questions I can't seem to help my daughter with?

Question

1) 6^2+ b^2= 10^2 b=?

2)Find side a if side b=4.5 inches and side c=10 inches.

The triangle is a right scalene one. The abc order is: B on the very left side, A underneath, and c on the right slanted side.

__________inches?

Answer 1

Favorite Answer

1)

6² + b² = 10²

36 + b² = 100 (subtract both sides by 36)

b² = 64 (get the square root both sides)

b = 8

2)

By Pythagorean theorem;

a= ? , b=4.5, c= 10

c² = a² + b² (substitute values)

10² = a² + (4.5)²

100 = a² + 20.25 (subtract both sides by 20.25)

79.75 = a² (get the square root both sides)

a=8.93028555 inches ~~ 8.9inches (approximately)

Answer 2

1) 6^2 = 6 * 6 = 36

10^2 = 10 * 10 = 100

So

6^2 + b^2 = 10^2

36 + b^2 = 100

b^2 = 100 - 36

b^2 = 65

b = 8

2)

The pythagorean theorem says:

a^2 + b^2 = c^2

Where a and b are the two legs of a right triangle, and c is the hypotenuse (the "slanted side").

So

a^2 + (4.5)^2 = (10^2)

a^2 + 20.25 = 100

a^2 = 100 - 20.25

a^2 = 79.75

a = square root of 79.75

a = 8.93 (rounded)

Answer 3

1) This is the Pythagorean Theorem, and is used to solve right triangles.

6^2 + b^2 = 10^2

6*6 + b^2 = 10*10

36 + b^2 = 100

-36..............-36

---------------------

.......b^2 = 64...................take the square root of both sides.

√b^2 = √64.......................8*8=64 so √64 =√8^2 = 8........rule √N^2 = N

b = 8

2)Since this is a right scalene triangle, it will still obey the Pythagorean Theorem,

with "c" the hypotenuse (a^2 + b^2 = c^2)

a^2 + 4.5^2 = 10^2

a^2 4.5*4.5 = 10*10

a^2 + 20.25 = 100

.......-20.25 = -20.25

-------------------------

a^2............= 79.75

√a^2 ........= √79.75..............use a calculator.....http://www.ecalc.com/

a = 8.93 inches.

Answer 4

This is Pythagoras.

which is

h^2 = a^2 + b^2 for a right angled triangle.

1) 6^2 + b^2 = 10^2

b^2 = 10^2 - 6^2

b^2 = ( 10 - 6)(10 + 6)

b^2 = 4*16

b^2 = 64

b = 8

2).

10^2 = a^2 + 4.5^2

a^2 = 10^2 - 4.5^2

a^2 = (10 - 4.5)(10 + 4.5)

a^2 = 5.5 * 14.5

a^2 = 79.75

a = sqrt(79.75) = 8.93...ins.

Answer 5

Hello

1)

b² = 10² - 6² = 100 - 36 = 64

b = ± 8

But if b is the side of a triangle, b = +8

2)

Seems that the lypotenuse is a

Is it this scheme ?

http://img823.imageshack.us/img823/3005/aaalrt.png

Then, with the pythagorean theorem, a² = b² + c² = 4.5² + 10² = 120.25

a = √120.25 = 10.97

Hope it helped

Bye !

Answer 6

6² + b² = 10²

36 + b² = 100

b² = 100 - 36

b² = 64

b = ±√64

b = ±8

a² + b² = c²

a² + 4.5² = 10²

a² + 20.25 = 100

a² = 100 - 20.25

a² = 79.75

a = √79.75

a = 8.93 inches (to 3sf)

Answer 7

1)

b² = 64

b = ± 8

2)

10² = a² + 4.5²

a² = 100 - 81/4

a² = 319/4

a = (1/2)√319 ins

Answer 8

1) 6²+b²=10²

b²=100-36

b²=64

b=±8 <=========Answer

2) a²+b²=c²

a²+20.25=100

a²=79.75

a≈8.93 inches <=========Answer

Answer 9

1. b=8

2. 8.93

Answer 10

1) b=8

2) I don't know how to do that