Q20 of 97 Page 195

Which is true?

We know that,

Sum of all angles of a triangle is equal to 180^o

∴ A triangle can have two acute angles because sum of two acute angles of a triangle is always less than 180^o

Thus, it satisfies the angle sum property of a triangle

Hence, option (C) is correct

In ∆ABC and ∆DEF, it is given that ∠B=∠E and ∠C=∠F. In order that ∆ABC ≅ DEF, we must have

In ∆ABC and ∆PQR, it is given that AB=AC, ∠C=∠P and ∠P=∠Q. Then, the two triangles are

Three statements are given below:

(I) In a ∆ABC in which AB=AC, the altitude AD bisects BC.

(II) If the altitudes AD, BE and CF of ∆ABC are equal, then ∆ABC is equilateral.

(III) If D is the midpoint of the hypotenuse AC of a right ∆ABC, then BD=AC.

Which is true?

The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.

Assertion (A)	Reason (R)
If AD is a median of ∆ABC, then AB+AC>2AD.	The angles opposite to equal sides of a triangle are equal.