7. Find the area of a right triangle whose base is 1.2 m and hypotenuse 3.7 m.
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2 thoughts on “<br />7. Find the area of a right triangle whose base is 1.2 m and hypotenuse 3.7 m.<br />​”

1. Answer:

   • Area of a right triangle is 2.1 m².

   Step-by-step explanation:

   Given that:

   • Base of a right triangle = 1.2 m
   • Hypotenuse of a right triangle = 3.7 m

   To Find:

   • Area of a right triangle.

   First finding the height of a right triangle:

   By pythagoras theorem.

   ⟶ H² = P² + B²

   ⟶ (3.7)² = P² + (1.2)²

   ⟶ 13.69 = P² + 1.44

   ⟶ P² = 13.69 – 1.44

   ⟶ P² = 12.25

   ⟶ P = √12.25

   ⟶ P = 3.5

   ∴ Perpendicular/Height of a right triangle = 3.5 m

   Finding the area of a right triangle:

   ⇒ Area = (B × P)/2

   ⇒ Area = (1.2 × 3.5)/2

   ⇒ Area = 2.1

   ∴ Area of a right triangle = 2.1 m²

   Some abbreviations used are:

   • H = Hypotenuse
   • P = Perpendicular/Height
   • B = Base

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2. ꧁༺Answer ༻꧂

   we know that:

   Area of right angle triangle = 1/2 * Base * perpendicular height

   And

   According to Pythagoras theorem

   (Hypotenuse)² = (Base)² + (perpendicular)²

   Here,

   Base = 1.2 m

   Hypotenuse = 3.7 m

   => Perpendicular = √(H² – B²)

   = √ (3.7² – 1.2²)

   = √ (13.69 – 1.44)

   = √ 12.25

   = 3.5 m

   Now,

   => Area = 1/2 * B * P

   = 1/2 * 1.2 * 3.5

   = 1/2 * 4.2

   = 2.1 m²

   Reply