Question

What will be the hypotenuse of a right angled triangle whose two sides containing right angle are 3x and 4x?

Answer 1

Answer:

Here is the answer =>

Step-by-step explanation:

Let the hypotenuse be ‘h’.

So base(b)=3x.

Altitude(a)=4x.

Hypotenuse =h.

Applying Pythagoras theorem =>

h^2=b^2+a^2

h^2=(3x)^2+(4x)^2

h^2=9x^2+16x^2

h^2=25x^2

h=√25x^2

h=5x.

So h=5x ,hence the hypotenuse of the Δ is 5x units.

HOPE IT HELPS.