Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm? Options: A . &nbsp No, it is impossible B . &nbsp With the measure of extra angle, Yes C . &nbsp With the measure of other diagonal, Yes D . &nbsp Yes, definitely

Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5

Question

Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?

Options:

A . No, it is impossible

B . With the measure of extra angle, Yes

C . With the measure of other diagonal, Yes

D . Yes, definitely

Answer: Option A
:
A

If we have the measures of all the sides of a quadrilateral and its one diagonal, we can draw two triangles and hence, form a quadrilateral.

ABCD comprises of two triangle $△$ ADB & $△$ CDB

In Δ ADB, AB = 3cm, BD = 8cm, and AD = 4cm

Since, AB + AD $<$ BD

$△$ ADB can't be constructed.

So, quadrilateral ABCD can't be constructed.

Was this answer helpful ?

Next Question

Question 1. Can you draw a unique triangle with any 3 possible measurements of sides or angles? ....

Question 2. We have a parallelogram ABCD with AC and BD as diagonals. In parallelogram ABCD, ∠ ABC = 110∘, ∠ DAC = 15∘,....= 5cm, CD = 7cm. Can we construct this parallelogram?

Question 3. Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm , ∠ ABC = 45"....CD= 7cm , ∠ ABC = 45∘ and ∠ BCD = 55∘?

Question 4. A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from....the measurements required to construct the quadrilateral ABCD from the given options?

Question 5. What is the minimum number of measurements required to construct a unique rhombus? ___ ....

Question 6. At least four measurements are required to draw a unique quadrilateral. ....

Question 7. If we know that one side of a rectangle is 8 cm, can we construct a unique rectangle? ....

Question 8. If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and ∠ ABC= 60∘, can you draw a qu....6 cm and ∠ ABC= 60∘, can you draw a quadrilateral?

Question 9. There is a quadrilateral PLAY with PL = 3cm, LA = 4cm, AY = 4.5 cm, PY = 2cm. Which of the following values of L....Which of the following values of LY is not possible?

Question 10. To construct a parallelogram, a minimum of how many measurements need to be provided? ....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

GPOE / GPA Combined 1 Free Mock Test SAIL JO E-0 2024

ICA Combined 1 Free Revision Test SAIL JO E-0

RDIC Review Test SAIL JO E-0

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

RSP Combined 1 Free Revision Test SAIL JO E-0