First find all sides of the triangles using Pythagorean’s Theorem For the bigger ones: 24^2+b^2=26^2 576 +b^2=676(subtract) b^2= 100(square both sides) b = 10 So that’s the height for both the big and little triangle let’s find all three sides of the little one now 6^2+10^2=c^2 36+100=c^2 136=c^2 11.6=c
Area of a triangle = root(s(s-a)(s-b)(s-c)) where s=1/2perimeter
Big triangle s=1/2(24+26+10)=30 Root(30(30-24)(30-26)(30-10)) Root(30*6*4*20) Root(14,400) 120*2 bc there’s two big triangles 240 cm^2
Lil triangle s=1/2(6+10+11.6)=13.8 Root(13.8(13.8-6)(13.8-10)(13.8-11.6) Root(13.8*7.8*3.8*2.2) 30*2 bc there’s two lil triangles =60cm^2
Add the areas of four triangles together =240+60= about 300cm^2
