Help Contact For teachers and institutes

Mock Tests Classes

StemPy Lab

Learn. Solve. Code the solutions. Test yourself.

Live examsFree mock exams, timed and rankedEveryone starts together, and your score and rank come the moment it ends.See the exams →

Learn

Physics
Chemistry
Mathematics
Biology
Python Programming
Statistics & Data Science
Classes
Groups

Practice

Problems
Quizzes
Mock Tests
Prepare for an Exam
Question Sets
Exams
Certificates
Python Labs
AI Practice Generator
Student-Created Tests

Community

Discussions
Resources
Notes
Blog

Account

Log in

© 2026 senLearn. All rights reserved.Help About Contact Privacy Policy Terms of Use Refund Policy

EFGH is a trapezium with EF ∥ HG, and its diagonals… | StemPy Lab

Quizzes
EFGH is a trapezium with EF ∥ HG, and its diagonals meet at O. EO = (3x - 1) cm, OG = (5x - 3) cm, FO = (3x - 2) cm and OH = (6x - 5) cm. Find x.

MathematicsHardHigh School (9–10)GeneralGeometry › Triangles Olympiad SAT

Created by StemPy Lab

$EFGH$ is a trapezium with $EF \parallel HG$ , and its diagonals meet at $O$ . $EO = (3x - 1)$ cm, $OG = (5x - 3)$ cm, $FO = (3x - 2)$ cm and $OH = (6x - 5)$ cm. Find $x$ .

← All Quizzes

← A line through D on AB parallel to BC meets AC at E. A line through E parallel to DC meets AB at F. AF = 4 cm and AB = 25 cm. Find AD.In triangle LMN, a line PQ parallel to MN meets LM at P and LN at Q. The area of triangle LPQ is 18 cm² and the area of triangle MPQ is 30 cm². Find the area of triangle LPN. →

More onGeometry › Triangles

Discussion (0)

Log in to join the discussion.

Loading…

More questions on this topic

In each statement, a, b, c are the sides of a triangle, Δ is its area and R is its circumradius. A…Advanced
At noon an upright stick 1.5 m long casts a shadow 2 m long. A building next to it casts a shadow…Hard
Triangles ABC and PQR are similar, and (ar(ABC))/(ar(PQR)) = 9/16. Which statement is true?Hard
The diagonals of a rhombus are 18 cm and 24 cm long. What is the length of each side?Hard
In triangle ABC, ∠ B = 90°. The line BD is drawn at right angles to AC, with D on AC, AD = 4 cm…Hard

All questions on this topic →

Problems on this topic

Triangle ABC has sides BC = 36, CA = 29 and AB = 25…Advanced
A triangle ABC has sides a = BC, b = CA and c = AB…Advanced
In triangle ABC the sides are AB = 20, BC = 21 and CA = 13…Hard
A ladder 10 m long reaches 8 m up a wall…Hard

All problems on this topic →