Question

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4. Find the area of a right triangle whose base is 1.2 m and hypotenuse 3.7 m.​

Answer 1

Answer:

2.1 m^2

Step-by-step explanation:

 Here,

    Base of that triangle is 1.2 m and hypotenuse is of length 3.7 m.

As it's a right angled triangle Pythagoras theorem can be applied.

   Using Pythagoras theorem:

⇒ base^2 + height^2 = hypotenuse^2

⇒ ( 1.2 m )^2 + height^2 = ( 3.7 m )^2

⇒ 1.44 m^2 + height^2 = 13.69 m^2

⇒ height^2 = 13.69 m^2 - 1.44 m^2

⇒ height^2 = 12.25 m^2

⇒ height^2 = ( 3.5  m )^2

⇒ height = 3.5 m

    We know area of right angled triangles is given by half of the product of its height and base.

⇒ Area of this triangle =  1 / 2  * 3.5 * 1.2  m^2

       = 3.5 * 0.6  m^2

       = 2.1 m^2

Answer 2

Answer:

2.1 m²

Step-by-step explanation: