2020 · Q82
The sum of the squares of sides of a right-angled triangle is 8,450 square units. What is the length of its hypotenuse?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A50 units
- B55 units
- C60 units
- D65 units
Explanation
a^2+b^2 = c^2 and a^2+b^2+c^2 = 8450 give 2c^2 = 8450, so c = 65 units. Hence option (D). Check: 65^2 = 4225 and 2*4225 = 8450.