Find the area of quadrilateral abcd in which ab=3cm bc=4cm cd=4cm da=5cm ac=5cm?

Question

Answer

Bhaii pehle aap area of quadrilateral nikhl Lena 360se s nikhl jayega usske aak formula hai heron's formula s_a s_b s_c yee LGA dho nikhl jayega I think

Answer

About 15 sq.cm.Explanation:Diagonal AC divides ABCD into 2 triangles ADC & ABC.Find the area of both by using Heron's formula(2×4.58,6).Just add them now.......

Answer

I think.....sides of quadrilateral and one diagonal are given....the diadonal divides the quadrilateral into two triangles ......so by using heron's formula u can find are of the two tiangles.....then are of quadrilateral=area of the two triangles.....so the ans will be 2√21+6

Answer

Understanding Quadrilateral ABCD
To find the area of quadrilateral ABCD, we can divide it into two triangles: ABC and ACD. We will use Heron's formula to calculate the area of each triangle.
Step 1: Calculate the Area of Triangle ABC
- Side lengths: AB = 3 cm, BC = 4 cm, AC = 5 cm.
- Semi-perimeter (s):
- s = (AB + BC + AC) / 2 = (3 + 4 + 5) / 2 = 6 cm.
- Area calculation using Heron's formula:
- Area = √[s(s - AB)(s - BC)(s - AC)]
- Area = √[6(6 - 3)(6 - 4)(6 - 5)] = √[6 * 3 * 2 * 1] = √12 = 2√3 cm².
Step 2: Calculate the Area of Triangle ACD
- Side lengths: AC = 5 cm, CD = 4 cm, AD = 5 cm.
- Semi-perimeter (s):
- s = (AC + CD + AD) / 2 = (5 + 4 + 5) / 2 = 7 cm.
- Area calculation using Heron's formula:
- Area = √[s(s - AC)(s - CD)(s - AD)]
- Area = √[7(7 - 5)(7 - 4)(7 - 5)] = √[7 * 2 * 3 * 2] = √84 = 6√(7) cm².
Step 3: Total Area of Quadrilateral ABCD
- Total Area:
- Area of ABC + Area of ACD = 2√3 + 6√(7) cm².
Thus, the area of quadrilateral ABCD is the sum of the areas of triangles ABC and ACD, which can be expressed as a numerical value after evaluating the square roots, but the exact expression is already given.

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