Question

in angle PQR, angle R = angle P and QR=4 cm and PR=5 cm . then find the length of PQ.​

Answer 1

Answer:

4cm because it is an isocleles triangle which 2 angles and 2 sides are equal

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Answer 2

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){ \sf P }\put(0.5,-0.3){ \sf Q }\put(5.2,-0.3){ \sf R }\put(2.5, - 0.5){\sf 4 cm}\put(3.9,2){\sf 5 cm}\end{picture}$

Given:-

• ∠R = ∠P
• QR = 4cm
• PR = 5cm

To Find:-

• Length of PQ

Solution :-

In triangle PQR,

Given that ∠R = ∠P

Therefore, PQ = QR...... [∵sides opposite to equal angles are equal]

So, PQ is equal to 4cm.

More to know:-

• The sum of three interior angles of a triangle will always measure upto 180°.

• The sum of the length of two sides of a triangle will always greater than the other third side of triangle.

• Angles opposite to equal sides are always equal.