If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
Correct answer: A. 120 cm2
- A. 120 cm2
- B. 130 cm2
- C. 312 cm2
- D. 315 cm2
Explanation
The sides satisfy 10^2 + 24^2 = 26^2, so the triangle is right-angled with perpendicular sides 10 cm and 24 cm. Its area is 1/2 x 10 cm x 24 cm = 120 cm2. The likely mistake is option b, which may come from using 26 cm as a perpendicular side.
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Triangles and angles involve angle pairs, vertically opposite angles, parallel lines, triangle angle sums, exterior angles, congruence, similarity, and the Pythagorean theorem. Questions also test properties of isosceles and equilateral triangles, with similarity focusing on proportional sides while congruence requires identical size and shape.
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