Scholarship Exam Preparation App
Class 7 - (Math )
Geometry - Properties of triangle and congruence of the triangles
A right triangle has a perimeter of 60 cm and its hypotenuse is 26 cm. Find the area of the triangle.
a :
120 cm²
b :
240 cm²
c :
390 cm²
d :
780 cm²
Explanation :
Perimeter = side + side + diagonal = a + b + 26 = 60 → a + b = 34
Area = (1/2) × a × b
Now a + b = 34 and a² + b² = 26² = 676
→ (a + b)² = a² + b² + 2ab = 1156
→ 676 + 2ab = 1156 → 2ab = 480 → ab = 240
→ Area = (1/2) × ab = 120
Area = (1/2) × a × b
Now a + b = 34 and a² + b² = 26² = 676
→ (a + b)² = a² + b² + 2ab = 1156
→ 676 + 2ab = 1156 → 2ab = 480 → ab = 240
→ Area = (1/2) × ab = 120