Question

find the area of a right angled triangle whose one side is 7cm long and length and of hypotenuse is 12 cm . ​

Answer 1

Answer:

34.09

Step-by-step explanation:

area of triangle= 1/2 x base x height

let base= BC= 7 cm

hypotenuse = AC = 12 cm

to find height(AB)

Pythagorean theorem= AC^{2} = AB^{2} + BC^{2}  

=> AB^{2} = AC^{2} - BC^{2}

=> AB =  \sqrt{ AC^{2} - BC^{2} }  

=> AB = \sqrt{ 12^{2} - 7^{2} }

=> AB = \sqrt{ 144 - 49 }  

=> AB = \sqrt{95}  

=> AB = 9.74

area = 1/2 x base x height

=> 1/2 x 7 x 9.74

= 34.09