Question

(a) What will be the value of x in the following diagram? [3 MARKS]


(b) If a $△$QPR is right angled at P, which is the longest side of the triangle?

Answer 1

(a) Steps: 1 Mark
Result: 1 Mark
(b) Answer with reason: 1 Mark


(a) According to the question, the three sides of the triangle are equal.
Hence, all angles will also be equal (say x).

Sum of angles of a triangle = 180${}^o$
Or, x + x + x = 180${}^o$
Or, 3x = 180${}^o$
Or x = $\frac{{180}^o}{3}$ = 60${}^o$


(b) In a triangle, the side opposite to the angle with the largest value is the longest.

Here the biggest angle is the right angle, hence QR is the longest side in $△$QPR, right angled at P.