Area of triangle with vertices (3, 8), (−4, 2), (5, 1)शीर्ष (3, 8), (−4, 2), (5, 1) वाले त्रिभुज का क्षेत्रफलVertices (3, 8), (−4, 2), (5, 1) wale triangle ka area

NCERT Example 6 · Class 12 Maths · Chapter 4 · interactive diagram

Parts and what they mean

• x-axis (x-अक्ष) — Horizontal number line; the first number of each vertex is read here.
• y-axis (y-अक्ष) — Vertical number line; the second number of each vertex is read here.
• Origin O(0, 0) (मूल बिंदु O(0, 0)) — Where the two axes cross.
• Triangle ABC (त्रिभुज ABC) — Area = ½ |3 8 1; −4 2 1; 5 1 1| — one row (x, y, 1) per vertex.
• Vertex A(3, 8) (शीर्ष A(3, 8)) — First row of the determinant: 3, 8, 1.
• Vertex B(−4, 2) (शीर्ष B(−4, 2)) — Second row: −4, 2, 1.
• Vertex C(5, 1) (शीर्ष C(5, 1)) — Third row: 5, 1, 1.
• Area = 61/2 sq units (क्षेत्रफल = 61/2 वर्ग इकाई) — \frac{1}{2}[3(1) - 8(-9) + 1(-14)] = \frac{1}{2}(61) = 30.5 square units.

Original diagram drawn by Simple Learning Hub, based on NCERT Example 6. Report a mistake