Question

The hypotenuse of a right angled triangle is 29cm long. it's area is 210 square cm . calculate the length of perpendicular sides?​

Answer 1

Answer:

the sum of length of perpendiculars are 41cm

Step-by-step explanation:

here let the perpendicular sides of triangle be x and y respectively.

Then area=210 cm²

area of triangle= 1/2 ×base× height

210=1/2 ×x×y

xy=420 ----- Eq. (i)

From Pythagoras theorem

here hypotenuse = 29cm

Hypotenuse² = base² + height²

29²= x² + y²------ Eq. (ii)

As we know that

(x+y)²= x²+ y²+ 2xy

putting the values from eq. (i) and eq.(ii)

(x+y)²=29²+ 2×420

(x+y)²=1681

x+y= 41cm