- Three side and one diagonal of quadrilateral
- Four side and one diagonal of quadrilateral
- Three side and two diagonal of quadrilateral
- Area of quadrilateral can not be determined by Heron's formula.

Option 2 : Four side and one diagonal of quadrilateral

**Concept:**

**Area of a triangle:** If a, b and c are three sides of a triangle, then its area

\(A = \sqrt{s(s - a)(s - b)(s -c)}\)

This is called **Heron's formula** of area of triangle where 's' is the semi-perimeter of a triangle. i.e.

\(s = \frac{a\ +\ b\ +\ c\ }{2}\)

__Explanation:__

If ABCD is a quadrilateral with diagonal AC and BD, its area can be calculated by dividing it into two triangles and adding their individual area.

Hence the area of ABCD = area of Δ ABC + area of Δ ADC

'Area of Δ ABC' and 'area of Δ ADC' can be calculated by Herron's formula as discussed above.

Hence, a minimum number of data required are Four sides and one diagonal of a quadrilateral.

India’s **#1 Learning** Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Trusted by 2,20,07,562+ Students

Testbook Edu Solutions Pvt. Ltd.

1st & 2nd Floor, Zion Building,

Plot No. 273, Sector 10, Kharghar,

Navi Mumbai - 410210

[email protected]
Plot No. 273, Sector 10, Kharghar,

Navi Mumbai - 410210

Toll Free:1800 833 0800

Office Hours: 10 AM to 7 PM (all 7 days)