The lengths of the sides of triangle PQR are consecutive even integers. The perimeter of triangle PQR is 42 cm. What is the length of the lo

Question

The lengths of the sides of triangle PQR are consecutive even integers. The perimeter of triangle PQR is 42 cm. What is the length of the longest side?

in progress 0
Ben Gia 4 years 2021-07-24T13:19:43+00:00 1 Answers 47 views 0

Answers ( )

  1. sori
    0
    2021-07-24T13:20:57+00:00
    Reply

    Answer:

    16 cm

    Step-by-step explanation:

    Let the three consecutive even integers representing the sides of the triangle PQR be x, (x +2) and (x + 4).

    Since, perimeter of triangle PQR = 42 cm

    \therefore \: x + (x + 2) + (x + 4) = 42 \\ 3x + 6 = 42 \\ 3x = 42 - 6 \\ 3x = 36 \\ x = \frac{36}{3} \\ x = 12 \\ \\ \because \: longest \: side = x + 4 \\ \therefore \: longest \: side = 12 + 4 \\ \red{ \bold{ \therefore \: longest \: side = 16 \: cm}} \\

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )