Question

Find the value of half of the base if perpendicular is 13 cm, hypoteneus is 15 cm and other half of the base is 5 cm

Answer 1

Answer:

Step-by-step explanation:

Let x be the base of the triangle, then the altitude will be (x−7).

By Pythagoras theorem,

x  

2

+(x−7)  

2

=(13)  

2

 

2x  

2

−14x+49−169=0

2x  

2

−14x−120=0

x  

2

−7x−60=0

x  

2

−12x+5x−60=0

(x−12)(x+5)=0

x=12,x=−5

Since the side of the triangle cannot be negative, so the base of the triangle is 12cm and the altitude of the triangle will be 12−7=5cm.