MHB Finding the Area of Triangle ABQ in Rectangle ABCD with Given Points and Lengths

  • Thread starter Thread starter Albert1
  • Start date Start date
  • Tags Tags
    Area Triangle
Click For Summary
To find the area of triangle ABQ within rectangle ABCD, the relevant dimensions are established: AB measures 14 units, CP is 13 units, and DP is 15 units. Point P is located on line segment AB, while point Q is on line segment DP, with line CQ perpendicular to DP at point Q. The area of triangle ABQ can be calculated using the formula for the area of a triangle, which is 0.5 times the base times the height. Given the dimensions and the right angle at Q, the area of triangle ABQ is determined to be 105 square units.
Albert1
Messages
1,221
Reaction score
0
Rectangle $ABCD$ ,point $P$ on $\overline{AB}$ and point $Q$ on $\overline{DP}$ respectively
given: $\overline{AB}=14,\overline{CP}=13$. and $\overline{DP}=15$, if $\overline{CQ}\perp \overline{DP}$ on $Q$
please find the area of $\triangle ABQ$
 
Mathematics news on Phys.org
Albert said:
Rectangle $ABCD$ ,point $P$ on $\overline{AB}$ and point $Q$ on $\overline{DP}$ respectively
given: $\overline{AB}=14,\overline{CP}=13$. and $\overline{DP}=15$, if $\overline{CQ}\perp \overline{DP}$ on $Q$
please find the area of $\triangle ABQ$
my solution:
View attachment 6281
 

Attachments

  • area of triangle ABQ.jpg
    area of triangle ABQ.jpg
    24 KB · Views: 110
Last edited:

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

MHB ASVAB circle and inscribed rectangle area problem
  • · Replies 6 ·
Replies
6
Views
2K
MHB What is the area of rectangle ABCD?
  • · Replies 4 ·
Replies
4
Views
2K
MHB How to Find the Area of Quadrilateral ABCD with Given Side Lengths and Angles?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Proving the Similarity of Two Acute Triangles with Perpendicular Lines
  • · Replies 2 ·
Replies
2
Views
2K
MHB Length of $\overline{CE}$ in Square $ABCD$ with $45^o$ Angle
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Help finding a triangle inside a triangle
  • · Replies 5 ·
Replies
5
Views
2K
MHB Find A in abcd=A(four digital number) is a perfect square ,given ab=2cd+1
  • · Replies 2 ·
Replies
2
Views
2K
MHB Minimum Perimeter of a Trapezoid: Find R & P
  • · Replies 5 ·
Replies
5
Views
2K
MHB Find the Ratio of $\overline{BD}: \overline{CD}$ in $\triangle ABC$
  • · Replies 2 ·
Replies
2
Views
2K
MHB Finding $\angle ADC$ in $\triangle ABC$
  • · Replies 3 ·
Replies
3
Views
2K