Find the area of a right triangle whose base is 1.2 m and hypotenuse 3

1.	Find the area of a right triangle whose base is 1.2 m and hypotenuse 3.7 m.
Answer» Given, Base = 1.2 m Hypotenuse = 3. 7 m Height =? By Pythagoras theorem, we have Hypotenuse² = Base² + Height² Height² = Hypotenuse² – Base² Height² = 3.7² – 1.2² Height² = 13.69 – 1.44 Height² = 12.25 Height = √12.25 Height = 3.5 m Then, Area of right triangle = (1/2) × base × height = (1/2) × 1.2 × 3.5 = 0.5 × 1.2 × 3.5 = 2.1 m²

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

Answer»

Given,

Base = 1.2 m

Hypotenuse = 3. 7 m

Height =?

By Pythagoras theorem, we have

Hypotenuse² = Base² + Height²

Height² = Hypotenuse² – Base²

Height² = 3.7² – 1.2²

Height² = 13.69 – 1.44

Height² = 12.25

Height = √12.25

Height = 3.5 m

Then,

Area of right triangle = (1/2) × base × height

= (1/2) × 1.2 × 3.5

= 0.5 × 1.2 × 3.5

= 2.1 m²