Multiple choice

The perimeter of a right triangle is 60 cm and its hypotenuse is 26 cm. What is the area (in cm2) of the triangle?

  1. 96

  2. 60

  3. 120

  4. 90
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For a right triangle with hypotenuse 26 cm and perimeter 60 cm, the sum of legs = 60 - 26 = 34 cm. Let legs be a and b. Then a + b = 34 and a² + b² = 26² = 676. Solving: ab = [(a+b)² - (a²+b²)]/2 = (1156 - 676)/2 = 240. Area = ab/2 = 240/2 = 120 cm². The sides are 10 and 24 cm.

Keep practicing — related questions