Question

hypotenuse of a right angled triangle is 29cm long its area is 210cm square calculate length of perpendicular sides.( it's urgent)​

Answer 1

Pls factorise the quadratic equation for the answer

Answer 2

Answer:

21 , 20

Step-by-step explanation:

Let, height of triangle be h and base be b

Area = 210 cm^2

1/2 * b * h = 210

b = 420/h ---------------------1

Also, according to Pythagoras theorem

(29)^2 = h^2 + b^2

841 = h^2 + (420/h)^2 ( FROM 1)

841 = h^2 + 176400/h^2

By taking LCM

841 h^2 = h^4 + 176400

h^4 - 841 h^2 + 176400 = 0

By splitting the middle term

(h^2 - 441)(h^2 - 400) = 0

Since we need only +ve values

(h - 21)(h - 20) = 0

h = 21 , 20