Question 818844
find the area of a right triangle with hypotenuse 10 cm and base 6 cm

Given:
Base=6cm
Hypotenuse= 10cm

Solution:
Get first the height using Pythagorean theorem
Let x be the height 

{{{ 10^2 = 6^2 + x^2 }}}
{{{ 100 = 36 + x^2 }}}
{{{ 100 -36 = x^2 }}}
{{{ 64=x^2}}}
{{{ sqrt (64)=sqrt (x^2)}}}
{{{ x=8}}} = height

Formula for Area of Triangle

Area of Triangle = {{{ base*height/2 }}}

={{{ 6*8/2 }}}
={{{ 48/2}}}
={{{24 }}}

Final Answer:

The Area of the Triangle is {{{highlight (24) }}}