Find the value of y. 8 16 8sqrt3 4sqrt3

asked Nov 21, 2019 83.1k views

2 votes

Find the value of y.

8

16

8sqrt3

4sqrt3

8.0k points

Please log in or register to add a comment.

1 vote

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

(DC)/(DA)=(DB)/(DC)

Substitute:

(y)/(4)=(12)/(y) cross multiply

$(y)(y)=(4)(12)\\\\y^2=48\to y=√(48)\\\\y=√(16\cdot3)\\\\y=√(16)\cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

Heads answered Nov 27, 2019

by Heads

9.0k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers