Question

Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units.

Q: what’s the value of t?

a) 2
b) 3
c) 6
d) 8

Answer 1

2

Explanation:

I just took the test

Answer 2

The value of t = 2. Option a) 2 is the correct answer.

Explanation:

Perimeter is the sum of three sides of a triangle.

Given that, the points D and E are midpoints of the sides.

Therefore,

side AB= AD+DB

AB= 3t + 3t = 6t

side BC= BE+EC

BC= 4t + 4t = 8t

side AC= 7t+6

Perimeter of the triangle= sum of (side AB+side BC+side AC)

48 = 6t+8t+7t+6

48 = 21t+6

t= 42/21

t= 2