Question

If you construct △ABC with m∠A=40° , m∠B=50° , and m∠C=90°, Which statements about the triangles are true?

Select 2 correct answer(s)
Question 2 options:

BC > AC


BC < AC


BC < AB


BC >AB

Answer 1

Answer:

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Answer 2

Given :- If you construct △ABC with m∠A=40° , m∠B=50° , and m∠C = 90°, Which statements about the triangles are true ?

1) BC > AC

2) BC < AC

3) BC < AB

4) BC > AB

Solution :-

we know that,

• Side opposite to larger angle are larger in length .

we have,

→ ∠A = 40° => Angle opposite to BC .

→ ∠B = 50° => Angle opposite to AC .

→ ∠C = 90° => Angle opposite to AB .

then,

→ ∠C > ∠B > ∠A .

therefore,

→ AB > AC > BC .

hence,

• 2) BC < AC .
• 3) BC < AB .

(2) and (3) statements are correct about the triangle .