7. Find the area of a right triangle whose base is 1.2 m and hypotenuse 3.7 m. About the author Ximena

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 Reply

꧁༺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

Answer:Step-by-step explanation::Given that:To Find:First finding the height of a right triangleBy 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꧁༺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