Question

The hypotenuse of a right triangle is 65 cm. If one of its sides is 60 cm, find the length of the other side. ​

Answer 1

Answer:

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Step-by-step explanation:

We are given with a right-angled triangle whose measures are:

Base =6cm

Hypotenuse =6.5cm

Using Pythagoras Theorem:

Hypotenuse

2

= Base

2

+ Perpendicular

2

(6.5)

2

=(6)

2

+ Perpendicular

2

or Perpendicular

2

=42.25−36=6.25

or Perpendicular =2.5cm

Now,

Area of a triangle =

2

1

×Base×Height

=

2

1

×6cm×2.5cm

=7.5cm

2

Answer 2

Here it is given that the length of the hypotenuse of a right angles triangle is 65 cm.

Also, one of its side measures 60cm

We have to find the other side

We will use the pythagoras theorem

Let the other side be x

So, 65² = 60² + x²

      x² = 65² - 60²

     x² = 4225 - 3600

       x² = 625

       x = 25

Hence, the other side will be 25 cm