Question

5) A manufacturer produces paperweights composed of two congruent triangles as shown.

The length of the hypotenuse is
A. 6
B. 8
C. 10

The total length of the base of the paperweight is
A. 6
B. 8
C. 10​

Answer 1

Explanation:

Since, both the triangles of the paperweight are congruent,

Their corresponding sides will be congruent.

3x + 2.5 = 4

3x = 4 - 2.5

x = 0.5

Similarly, 2y - 5 = 3x + y

2y - y = 3x + 5

y = 3x + 5

y = 3(0.5) + 5

y = 1.5 + 5

y = 6.5

Total length of the hypotenuse = 2y - 5

= 2(6.5) - 5

= 13 - 5

= 8

Option B is the answer.

Total length of the base = (3x + 2.5) + 4

= 3x + 6.5

= 3(0.5) + 6.5

= 8

Option B is the answer.