Question

Find the area of a right angled triangle with hypotenuse 26 cm and a side of length 24 cm.​

Answer 1

Answer:

area of the triangle = 120 $cm^{2}$

Step-by-step explanation:

Given a right angled triangle hypotenuse = 26 cm

                                one side of triangle  = 24 cm

     the triangle is right angled, therefore from Pythagoras theorem

       in a right triangle    $hpotenuse ^{2} = side^{2}+ side^{2}$  

                                       $26^{2} = 24^{2} + side^{2}$

                                      $side^{2} = 26^{2} - 24^{2}$    

                                      $side^{2} = 676 - 576 =100$

                                      $side^{2} = 10^{2}$  ⇒  side = 10

 area of right triangle = $\frac{ 1}{2} bh$ =   $\frac{ 1}{2} ( 24)(10)$  = 24× 5 =120 $cm^{2}$