Thursday, 12 May 2016

geometry - Given the lenght of the hypotenus and the sum of the legs find the area of right triangle




Given: right-angled ABC, the length of the hypotenuse c=5 and the sum of the legs a+b=6. Find the area of the triangle.
I tried creating the following system a+b=6;a2+b2=25 however it got me nowhere, I get a really ugly quadratic equation .


Answer



We have
Area =12absinC=12absinπ2=12ab=14[(a+b)2(a2+b2)]=14(3625)=114


No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...