In △ A B C , if ∠ B = ∠ C = 45 ∘ , then which of the following is/are the longest side(s)? Options: A . &nbspAB B . &nbspAC C . &nbspBC D . &nbspAB and BC

Answer: Option C : C ∠ A + ∠ B + ∠ C = 180 ∘ (angle sum property of triangle) ⇒ ∠ A + 45 ∘ + 45 ∘ = 180 ∘ ⇒ ∠ A = 90 ∘ The side opposite to largest angle will be the longest side. Hence BC is the largest side.

In △ABC, if ∠B=∠C=45∘, then which of the following is/are the longest

Question

△ A B C

, if

∠ B = ∠ C = 45^{\circ}

, then which of the following is/are the longest side(s)?

Options:

A . AB

B . AC

C . BC

D . AB and BC

Answer: Option C
:
C

In △ABC, If ∠B=∠C=45∘, Then Which Of The Following...

∠ A + ∠ B + ∠ C = 180^{\circ}

(angle sum property of triangle)

\Rightarrow ∠ A + 45^{\circ} + 45^{\circ} = 180^{\circ} \Rightarrow ∠ A = 90^{\circ}

The side opposite to largest angle will be the longest side. Hence BC is the largest side.

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. In the figure below, △ABC ≅ △BED, ∠DEB = 115∘ and ∠CAB = 25∘. It can be concluded that BC||ED.....

Question 2. In the figure, if AB = CD and ∠ABO = 35∘. What is the value of ∠DCO in degrees?___....

Question 3. In the given figure, AM ⊥ BC and AN is the bisector of ∠A. Then ∠MAN is....

Question 4. The diagonal of a rectangle divides it into 2 congruent triangles.....

Question 5. O is any point on the bisector of the acute angle ∠XYZ. From O, a line is extended to join XY such that OP is parallel....XY such that OP is parallel to ZY. Then, △YPO is:

Question 6. If △NVY≅△AJU and both the triangles are scalene, then which of the following is true?....

Question 7. In a △ABC, ∠ABC = 30∘ and ∠ACB = 45∘. Which is the longest side in this triangle?....

Question 8. In the figure below, if AC>AB and D is point on AC such that AB = AD, then the relation between BC and CD is BC>C....AD, then the relation between BC and CD is BC>CD.

Question 9. In the given figure, ΔABC is equilateral with point O as its circumcentre. Here, area of ΔBOC=13 area of ΔABC.....figure, ΔABC is equilateral with point O as its circumcentre. Here, area of ΔBOC=13 area of ΔABC.

Question 10. In the given figure AD is the bisector of ∠A and AB = AC. Then, by which criterion △ACD and △ABD are congruent?....= AC. Then, by which criterion △ACD and △ABD are congruent?

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

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers