State and prove baudhayana theorem
Answers
Answer:
written below-
Step-by-step explanation:
GIVEN- baudhayana theroreum
FIND- prove and state it .
solution-
the areas produced seperately by the lenght and the breadth of rectangle together equal the areas produced by the diagonal.
proof - in ∆ ABC and ∆DBA , angle b is a common angle.
also we have angle BAC= angle ADB =90°
•∆ABC~∆DBA ( by AA)
their corresponding sides are proportional
hence, AB/DB= BC/BA
AB^2= DB×BC.....(i)
similarly we have ∆ABC and∆DAC
BC/AC = AC/DC
AC^2= BC×DC......(ii)
by adding i and ii we get
AB^2 + AC^2 = BD×BC +BC× DC
#SPJ3
Answer:
Step-by-step explanation:
Concept : The areas produced separately by the length and the breadth of rectangle together equal the areas produced by the diagonal, this is called Baudhayana Theorem.
Given : Baudhayana theorem
To Find : Prove and state it .
Solution :
Proof :
In ∆ ABC and ∆DBA , angle b is a common angle.
also we have angle BAC= angle ADB =90°
∆ABC~∆DBA ( by AA)
their corresponding sides are proportional
hence, AB/DB= BC/BA
AB^2= DB×BC.....(i)
similarly we have ∆ABC and ∆DAC
BC/AC = AC/DC
AC^2= BC×DC......(ii)
by adding i and ii we get
AB^2 + AC^2 = BD×BC +BC× DC
#SPJ3