Question

42. The
altitude of a right triangle is 1cm less than its base. If the hypotenuse is 29 cm, find the other two sides​

Answer 1

Answer:

The two sides are of length 21cm and 20cm

Step-by-step explanation:

Let the base be x ,

then altitude will be x - 1,

Since,

it is a right angled triangle,

using Pythagoras theorem,

x^2 + (x - 1)^2 = 29^2

x^2 + x^2 - 2x + 1 = 841

2x^2 - 2x - 840 = 0

x^2 - x - 420 = 0

x^2 - 21x + 20x - 420 = 0

x(x - 21) + 20(x - 21) = 0

(x + 20)(x - 21) = 0

Therefore,

x = 21 ... (since x cannot be negative)