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Find the area of the quadrilateral ABCD , in which AB = 12 cm, BC = 6 cm, CD = 7 cm, DA = 15 cm?
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Find the area of the quadrilateral ABCD , in which AB = 12 cm, BC = 6 ...
Given:
AB = 12 cm
BC = 6 cm
CD = 7 cm
DA = 15 cm
Area of Quadrilateral ABCD:
- To find the area of the quadrilateral ABCD, we can split it into two triangles, namely triangle ABC and triangle CDA.
- First, calculate the semi-perimeter of triangle ABC:
s1 = (AB + BC + AC) / 2
= (12 + 6 + AC) / 2
= 9 + AC / 2
- Using the semi-perimeter and the formula for the area of a triangle (A = √(s(s - AB)(s - BC)(s - AC))), we can find the area of triangle ABC.
- Similarly, calculate the semi-perimeter of triangle CDA:
s2 = (CD + DA + AC) / 2
= (7 + 15 + AC) / 2
= 11 + AC / 2
- Use the semi-perimeter and the formula for the area of a triangle to find the area of triangle CDA.
- Finally, add the areas of triangle ABC and triangle CDA to get the total area of quadrilateral ABCD.
Thus, the area of the quadrilateral ABCD can be found by calculating the areas of triangles ABC and CDA separately and then adding them together.
AB = 12 cm
BC = 6 cm
CD = 7 cm
DA = 15 cm
Area of Quadrilateral ABCD:
- To find the area of the quadrilateral ABCD, we can split it into two triangles, namely triangle ABC and triangle CDA.
- First, calculate the semi-perimeter of triangle ABC:
s1 = (AB + BC + AC) / 2
= (12 + 6 + AC) / 2
= 9 + AC / 2
- Using the semi-perimeter and the formula for the area of a triangle (A = √(s(s - AB)(s - BC)(s - AC))), we can find the area of triangle ABC.
- Similarly, calculate the semi-perimeter of triangle CDA:
s2 = (CD + DA + AC) / 2
= (7 + 15 + AC) / 2
= 11 + AC / 2
- Use the semi-perimeter and the formula for the area of a triangle to find the area of triangle CDA.
- Finally, add the areas of triangle ABC and triangle CDA to get the total area of quadrilateral ABCD.
Thus, the area of the quadrilateral ABCD can be found by calculating the areas of triangles ABC and CDA separately and then adding them together.
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Find the area of the quadrilateral ABCD , in which AB = 12 cm, BC = 6 cm, CD = 7 cm, DA = 15 cm?
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Find the area of the quadrilateral ABCD , in which AB = 12 cm, BC = 6 cm, CD = 7 cm, DA = 15 cm? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the area of the quadrilateral ABCD , in which AB = 12 cm, BC = 6 cm, CD = 7 cm, DA = 15 cm? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area of the quadrilateral ABCD , in which AB = 12 cm, BC = 6 cm, CD = 7 cm, DA = 15 cm?.
Find the area of the quadrilateral ABCD , in which AB = 12 cm, BC = 6 cm, CD = 7 cm, DA = 15 cm? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the area of the quadrilateral ABCD , in which AB = 12 cm, BC = 6 cm, CD = 7 cm, DA = 15 cm? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the area of the quadrilateral ABCD , in which AB = 12 cm, BC = 6 cm, CD = 7 cm, DA = 15 cm?.
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