Answer :
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 = [tex]\frac{13}{2} c m[/tex]
Given Area of the triangle = 7 1/2 sq.cm.
A = [tex]\frac{15}{2} sq .c m[/tex]
Step(ii):-
We know that Formula
Area of the triangle
[tex]A = \frac{1}{2} base X height[/tex]
[tex]\frac{15}{2} = \frac{1}{2}X b X \frac{13}{2}[/tex]
On calculation , we get
Base of the triangle (b) = [tex]\frac{30}{13} = 2.307 c.m[/tex]
Conclusion:-
The length of the triangle = 2.307 c.m