top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration

Facebook Login
Site Registration

A triangle with sides AB = 3, BC = 4, and AC = 5 has an inscribed square PQRS............What is the area of the square?

0 votes
30 views

A triangle with sides AB = 3, BC = 4, and AC = 5 has an inscribed square PQRS with side QR along the side AC.
What is the area of the square?

enter image description here

posted Oct 13 by Anamika

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

Let segment AQ = X, QR = L, RC = Y, QP = L, RS = L
We can write the three equations system:
X + L + Y = 5
L / X = Tan (Angle A) = 4 /3
L / Y = Tan (angle C) = 3/4
Solving the system, L = 1,62
Area = 1,62 x 1,62 = 2,63

answer 1 day ago by anonymous



Similar Puzzles
+3 votes

The figure shows an isosceles triangle with AB = BC. The line DE cuts AC extended at F. If AD=5, CE=3 and EF=8 find DE.

Find DE

+1 vote

In a Right angle triangle ABC

AB=3,AC=4 & BC=5

at BC,E is middle point and D is altitude AD

Find distance DE=?

it is not a difficult question everyone who know maths ...
Can YOU solve it easily ...... solve it in one line...........or in second..........?

+1 vote

If lengths of sides AB, BC and AC of a right angle triangle are in a geometric progression, what is the ratio between AC and AB?

Right Angle Triangle

0 votes

In triangleABC, side AB = 20, AC = 11, and BC = 13. Find the diameter of the semicircle inscribed in ABC, whose diameter lies on AB, and that is tangent to AC and BC.

11-13-20 Triangle

Contact Us
+91 9880187415
sales@queryhome.net
support@queryhome.net
#280, 3rd floor, 5th Main
6th Sector, HSR Layout
Bangalore-560102
Karnataka INDIA.
QUERY HOME
...