Question

in Triangle ABC BD is the altitude to side AC. If BD exceed AC by 5cm then area is 12 sq cm. Find AC and BD​

Answer 1

Answer:

Step-by-step explanation:

Since 5  

2

+12  

2

=13  

2

, the triangle is a right angled triangle with base BC=5cm, and height AC=12cm

Area of triangle =  

2

1

​  

× base × height =  

2

1

​  

×5×12=30 sq cm

Area of triangle remains same,  if we consider any of the base and its corresponding height to calculate it.

So, if the altitude drawn from B to AC is BD, then  

2

1

​  

×12×BD=30 sq  cm

∴BD=5cm