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