SOLUTION: If c is the measure of the hypothenuse, find the missing measure. Round to the nearest tenth, if necessary. a=? b=16 c=43

Question 309456: If c is the measure of the hypothenuse, find the missing measure. Round to the nearest tenth, if necessary.
a=?
b=16
c=43
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
If c is the hypotenuse of a right triangle, then a and b are the legs.
The pythagorean formula states that:

c^2 = a^2 + b^2

If c = 43 and b = 16 then this formula becomes:

43^2 = a^2 + 16^2 which becomes

1849 = a^2 + 256

Subtract 256 from both sides of the equation to get

1593 = a^2
Take the square root of both sides of this equation to get:

39.91240409 = a

To confirm, plug this in the original pythagorean formula of:

c^2 = a^2 + b^2 to get:

43^2 = 39.91240409^2 + 16^2 which becomes:

1849 = 1593 + 256 which becomes

1849 = 1849 confirming that the value of a is good.

RELATED QUESTIONS
If c is the measure of the hypotenuse,find the missing measure. Round to the nearest... (answered by Fombitz)

If c is the measure of the hypotenuse, find each missing measure. Round to the nearest... (answered by Alan3354)

1.if c the measure of the hypotenus, find the missing measure. round to the nearest... (answered by Alan3354)

If c is the measure of the hypotenuse, Determine the missing measure. Round to the... (answered by solver91311)

If c is the measure of the hypotenuse of a right triangle, findeach missing measure. If... (answered by Tatiana_Stebko)

C-1 Find the length of the missing side of this triangle. Two side measure 3', find the... (answered by josmiceli)

Find the missing measure of each right triangle. Round to the nearest tenth if... (answered by richwmiller)

If c is the measure of the hypotenuse of a right triangle, findeach missing measure. If... (answered by Tatiana_Stebko,Alan3354)

If c is the measure of the hypotenuse of a right triangle, findeach missing measure. If... (answered by Tatiana_Stebko)