Question

the hypotenuse of a right triangle is 6 1 /2cm and its area is 7 1/2sq.cm. Calculate the length of its perpendicular sides.​

Answer 1

Answer:

The Length of the triangle = 2.307 cm

Step-by-step explanation:

Step(i):-

Given  hypotenuse of a right triangle is = 6 1 /2 cm

Let assume the height of the triangle   h = $\frac{13}{2} c m$

Given Area of the triangle = 7 1/2  sq.cm.

                    A = $\frac{15}{2} sq .c m$

Step(ii):-

We know that Formula

Area of the triangle

               $A = \frac{1}{2} base X height$

              $\frac{15}{2} = \frac{1}{2}X b X \frac{13}{2}$

 On calculation , we get

 Base of the triangle (b) = $\frac{30}{13} = 2.307 c.m$

Conclusion:-

The length of the triangle = 2.307 c.m