Question

In a triangle abc, ad is angle bisector of a and ab : ac = 3 : 4. If the area of triangle abc is 350 cm2, then what is the area (in cm2) of triangle abd?

Answer 1

Answer:

150 cm²

Step-by-step explanation:

In a triangle abc, ad is angle bisector of a and ab : ac = 3 : 4. If the area of triangle abc is 350 cm2, then what is the area (in cm2) of triangle abd?

AD is bisector of ∠A

While given AB/AC = 3/4

Also Area of Triangle ABC = 350 cm²

Area of ΔABD = (AB/(AB + AC) ) * Area of Δ ABC

= (3/(3 + 4)) * 350

= (3/7) * 350

= 3 * 50

= 150 cm²