In ∆ABC, m/A-40°, m/B-50° then write the names of sides of A ABC in ascending order. explanation:- koi ha zinda
Answers
Using angle sum property in △ABC
∠A+∠B+∠C=180°
⇒50°+60° +∠C=180°
⇒∠C=70°
In any triangle side opposite to the largest angle is the longest side.
Here ∠C is largest and side opposite to it is AB
∴AB is the longest side.
Then comes ∠B and side opposite to it is AC
∴AC is the second longest side.
Then comes ∠A and side opposite to it is AC
∴BC is the shortest side.
So the increasing order of sides is
BC<AC<AB
You're into , Plz
Solution :-
given that, in ∆ABC,
→ ∠A = 40°
→ ∠B = 50°
So,
→ ∠A + ∠B + ∠C = 180°
→ 40° + 50° + ∠C = 180°
→ 90° + ∠C = 180°
→ ∠C = 90°
since ∠C is a right angle , therefore, ∆ABC is a right angled ∆ .
Now, we know that,
- Side opposite to larger angle is greater in measure .
- In right angle ∆ , hypotenuse is opposite to 90° and longest side .
therefore,
→ Smallest side = Opposite to ∠A (40°) = BC
→ Smaller side = Opposite to ∠B (50°) = AC
→ Longest side = Opposite to ∠C (90°) = AB
hence,
→ Sides of ∆ABC in ascending order will be = BC < AC < AB .
Learn more :-
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