The area of a triangle is 480cm². If two of its sides are 48 cm and 52 cm, find the third side. don't spam please answer correctly i will mark you as BRAINLIST. please it's urgent
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correct answers is 20
Area( triangle ABC) = 1/2 * 52 * h = 480
=> h = (480 *2 )/52
=> h = 240/13 cm ……………. (1)
In right triangle ADB
BD² = 48² - h²
=> BD² = 48² - (240²/13²)
=> BD² = {48+(240/13)}{48–(240/13)}
=> BD² = (864/13)(384/13)
=> BD² = (2²*2²*3²*6)(2²*2²*2²*6) /13²
=> BD = 2*2*3*2*2*2*6 /13
=> BD = 576/13
=> DC = 52 - (576/13)
=> DC = 100/13 ………………. (2)
In right triangle ADC
AC² = h² + DC²
=> AC² = (240²/13²) + (100²/13²)
=> AC² = (240² + 100²) / 13²
=> AC = √{( 676 *100)/13²}
=> AC = √{(26² * 10²)/13²}
=> AC = (26*10)/13
=> AC = 2*10
=> AC = 20 cm
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2
Answer:
The third side is 20cm
Step-by-step explanation:
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