Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

ICSE Class 9 Answered

ABC is a right angled triangle in which ∠ABC = 90° and ∠ACB = 60°. BC is produced to D such that ∠ADB = 45°. If CD = 30 cm, what are the lengths of AB and BC?
Asked by akifmohd007 | 03 Jan, 2020, 12:06: PM
answered-by-expert Expert Answer
ABC is a right angled triangle such that right angled at B and angle ACB is 60o. BC is produced to D such that angle ADB is 45o and CD is 30 cm.
To find the lengths of AB and BC.

I n space triangle A B C comma space angle A B C equals 90 degree space a n d space angle A C B equals 60 degree rightwards double arrow angle B A C equals 30 degree A s space angle A C B equals 60 degree space a n d space B minus C minus D rightwards double arrow angle A C D equals 120 degree rightwards double arrow angle C A D equals 15 degree space... space open parentheses because space angle A D B equals 45 degree close parentheses I n space triangle A B D comma space angle A D B equals 45 degree space a n d space angle B A D equals 45 degree rightwards double arrow A B equals B D equals B C plus 30 space... space left parenthesis i right parenthesis I n space triangle A B C comma tan space 60 degree equals fraction numerator A B over denominator B C end fraction rightwards double arrow A B equals square root of 3 B C space... space left parenthesis i i right parenthesis F r o m space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis comma space w e space h a v e B C plus 30 equals square root of 3 B C rightwards double arrow open parentheses square root of 3 minus 1 close parentheses B C equals 30 rightwards double arrow B C equals 40.98 space c m rightwards double arrow A B equals 70.98 space c m
Answered by Renu Varma | 07 Jan, 2020, 10:50: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
ICSE 9 - Maths
prove by Pythagoras theorem that the diagonal of a rectangle are equal in length
Asked by shawpriyam9382 | 29 Jul, 2024, 16:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
Pythagoras Theorem  How to solve the problem in the given picture?  
question image
Asked by mak121007abk | 25 Feb, 2023, 19:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
In triangle ABC, ∠B equals to 90° and D is midpoint of BC. Prove that AC 2 =AD 2 + 3 CD 2
question image
Asked by aryan2mumbai | 01 Sep, 2020, 20:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
in tringle ABC, angle B is 90 °and D is the mid point of BC . prove that  1. AC² = AD² + 3CD² 2.BC²= 4(AD² -AB²)    
Asked by kavyaraval1075.9sdatl | 08 Jun, 2020, 19:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
In rhombus ABCD , prove that : AB^2 + BC^2 + CD^2 + AD^2 = AD^2 + BD^2 
Asked by simranmangnani2282.9sdatl | 13 May, 2020, 14:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
ABC is a right angled triangle in which ∠ABC = 90° and ∠ACB = 60°. BC is produced to D such that ∠ADB = 45°. If CD = 30 cm, what are the lengths of AB and BC?
Asked by akifmohd007 | 03 Jan, 2020, 12:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
The sides of a right triangle containing the right angle are (5x) cm and (3x-1) cm. If the area of the triangle is 60 cm^2, calculate the length of the sides of the triangle.
Asked by kadtej83 | 24 Jan, 2019, 05:37: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
In an isoceles triangle  ABC, AB=AC and D is a point BC produced. Prove that  AD^2=AC^2 + BD * CD
Asked by bsap6777 | 28 Aug, 2018, 21:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
1)A man travels 7 km due north ,then goes 3km due east and the 3 km due south.how far is he from starting point  
Asked by Sunita | 09 Mar, 2018, 14:53: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 9 - Maths
1)The length of two sides of a right angled triangle containing the right angle differ by 6cm.If the area is 36cm2 find the perimeter 2) Solve simultaneously 3/x+4y=7 5/x+6y=13  
Asked by Sunita | 09 Mar, 2018, 14:40: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt