BD Merit - Freelancing, BCS, Bank, Primary, Admission, NTRCA

1 . In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. the length of the smallest side of the triangle PQR is:

A. 6 cm
B. 8 cm
C. 9 cm
D. 10 cm

View Answer

Discuss in Forum

Workspace

Report

Answer: Option B

Explanation:

Given:

In △PQR, OR = 2 × PQ -2

And PR = PQ + 10

Formula Used:

The perimeter of a triangle is the sum of all sides of the triangle

Calculation:

Let the side PQ be x cm

So,

বা, QR = 2 × PQ -2

বা, QR = 2x -2 cm

And PR is

বা, PR = PQ + 10

বা, PR = x + 10 cm

The perimetre of the △PQR is

বা, 2x - 2 + x + x + 10 = 40

বা, 4x = 32 - 8

বা, x = 32 - 8

বা, x = 8 cm

বা, PQ = 8 cm

বা, QR = 2 × 8 -2 = 14 cm

বা, PR = 8 +10 = 18 cm

সমন্বিত পাঁচ ব্যাংক || অফিসার ক্যাশ - 06.11.2021

কোর্স ক্যাটাগরি

প্রয়োজনীয় লিঙ্ক