Question

The perimeter of a right angled triangle
24cm and its hypotenuse 10 cm. The area of
the triangle is​

Answer 1

Answer:24 cm square

Step-by-step explanation:

Let ABC is a right angled triangle.

i) Perimeter of ∆ABC = 24

=> x+y+10=24

=> x+y = 24-10

=> x+y = 14 ---(1)

ii)By Phythagorean theorem:

AC²= AB²+BC²

=> 10²= x² + y²

=> x²+y² = 100 ---(2)

iii) On Squaring equation (1), we get

=> (x+y)² = 14²

=> x²+y²+2xy = 196

=> 100+2xy = 196

/* From (2) */

=> 2xy = 196-100

=> 2xy = 96

/* Divide both sides by 2 , we get

=> xy = 48 ---(3)

Now ,

/* From (3) \

Therefore,