Find the area of the right triangle.. height is 8cm and the hypotenuse is 10cm

Alright! 

The formula of area of a triangle is base x height /2 

so you're given the height and hypotenuse. 

Do the reverse of the pythagorean theorem to find the base 

a^2= c^2 -b^2 

c^2 is the hypotenuse and b^2 is the height 

a^2= 10^2 - 8^2 
a^2 = 100 - 84 
a^2 = 16 
a= (square root the 16) 
a= 4 cm 

now put these numbers into the formula for area of a triangle 
bxh / 2
(4x8)/ 2
= 16 cm squared !! 

hope that makes sense :) 

Area of a triangle is one-half times base times height  so the answer is 24 and I got the base by using the pythagroem therom