ΔPQR is an isosceles triangle with

CUET Preparation Today

Start Free Mocks

Home Questions KVRXY8Y2YC

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

ΔPQR is an isosceles triangle with PQ = PR = 25 cm. If PS is the median on QR from P such that PS = 7 cm, then the length of QR is:

Options:

48 cm

42 cm

45 cm

38 cm

Correct Answer:

48 cm

Explanation:

We know that,

PQ = PR = 25 cm, (Isosceles triangle )

PS = 7 cm

In triangle PSQ

PQ² = PS² + QS²

=25² = 7² + QS²

= QS = 24 cm

QS = \(\frac{1}{2}\) × QR

QR = 2 × 24 = 48 cm