Find the area of an isosceles right-angled triangle whose hypotenuse is 8 cm.
A
32 m²
B
24 m²
C
16 m²
D
None of these
Correct Option:
C
Explanation
In an isosceles right triangle, if each equal leg is a, the hypotenuse is a√2. Thus a√2 = 8, so a = 4√2. Area = 1/2 × a² = 1/2 × (4√2)² = 1/2 × 32 = 16 cm². The printed option uses m², but the question gives the hypotenuse in cm, so option (3) is the intended numerical answer despite the unit typo.
