Find the area of the figure with Heron’s formula

735 cm²

Step-by-step explanation:

The figure is a trapezium .The area of the triangle section can be calculated using the Heron's formula.

The other part of the figure will be a square of sides 21 cm by 21 cm

Area of the square section

Area = l²

Area = 21* 21 = 441 cm²

Area of the triangle using Heron's formula

Sides of the triangle are ;

a= 28 cm

c= 35 cm

b = 21 cm -----height of the trapezium

The Heron's formula is given as;

where s is half the perimeter of the triangle

Perimeter of the triangle is given as ;

P= 35 + 28 + 21 =84 cm

s= 84/2 = 42 cm

Total area = 294 + 441 = 735 cm²

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

need more info

step-by-step explanation:

what do you mean by "representation"? graph? table? etc.