SOLUTION: The lengths of the sides of a right triangle are a and b, and the hypotenuse is c. Find the area of the triangle. Here is the triangle: https://vallejocity.owschools.com/media

Algebra ->  Surface-area -> SOLUTION: The lengths of the sides of a right triangle are a and b, and the hypotenuse is c. Find the area of the triangle. Here is the triangle: https://vallejocity.owschools.com/media      Log On


   

Question 1111643: The lengths of the sides of a right triangle are a and b, and the hypotenuse is c. Find the area of the triangle.
Here is the triangle:
https://vallejocity.owschools.com/media/g_geo_ccss_2016/8/groupi25.gif
a = 2 sqrt3 ft.;c = 4ft
A = sq.ft.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
legs a and b
hypotenuse c

a%5E2%2Bb%5E2=c%5E2
b%5E2=c%5E2-a%5E2
b=sqrt%28c%5E2-a%5E2%29
b=sqrt%284%5E2-%282%2Asqrt3%29%29%5E2%29
b=sqrt%2816-12%29
b=2
-
AREA, ab%2F2
%282%2Asqrt%283%29%2A2%29%2F2
%282%2Asqrt%283%29%2Across%282%29%29%2Fcross%282%29
highlight%282%2Asqrt%283%29%29

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

Be aware :   The answer  sqrt%283%29 ft^2  for the area by  @josgarithmetic is   W R O N G.

The correct answer is   Area = 2%2Asqrt%283%29 ft^2.