2022 · Q75
If the perimeter of an isosceles right triangle is 4(2+√2) cm, then what is its area in triangle cm?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A8
- B12
- C16
- D24
Explanation
Let the equal legs be L; the hypotenuse is L*sqrt(2). The perimeter L(2 + sqrt(2)) = 4(2 + sqrt(2)) gives L = 4 cm. The area is L^2/2 = 16/2 = 8 cm^2. Hence option (a).