| কষে দেখি.3
দুটি ধনাত্মক অখণ্ড সংখ্যার অন্তর 3 এবং তাদের বর্গের সমষ্টি 117; সংখ্যা দুটি হিসাব করে লিখি।
একটি ত্রিভুজের ভূমি তার উচ্চতার দ্বিগুণ অপেক্ষা 18 মিটার বেশি। ত্রিভুজটির ক্ষেত্রফল 360 বর্গ মি
হলে, তার উচ্চতা নির্ণয় করি।
Answers
heya mate see this attachment ...
hope it's help ...♥️♥️♥️
The first picture has the first answer and the second picture has the second answer
take care yourself ♥️♥️
Given : The difference between two positive integers is 3 and the sum of their squares is 117;
Base of a triangle is 18 meters more than twice its height.
The area of the triangle is 360 sq. M
To Find : the numbers
height of triangle
Solution:
Let say two numbers are a , a + 3
sum of their squares is 117;
=> a² + ( a + 3)² = 117
=> a² + a² + 6a + 9 = 117
=> 2a² + 6a - 108 = 0
=> a² + 3a - 54 = 0
=> a² + 9a - 6a - 54 = 0
=> a( a + 9) - 6( a + 9) = 0
=> (a - 6)(a + 9) = 0
=> a = 6 , a = - 9
a is positive
Hence a = 6
a + 3 = 9
Two numbers are 6 and 9
Base of a triangle is 18 meters more than twice its height.
The area of the triangle is 360 sq. M
Height = h , , Base = 2h + 18
Area = (1/2) * Base * Height = 360
=> (1/2) * ( 2h + 18) * h = 360
=> h² + 9h - 360 = 0
=> (h + 24)(h - 15) = 0
=> h = 15 as h can not be negative
=> Hence height = 15 m
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