what is the area of a triangle whose sides are in the ratio pf 5:12:13 and perimeter 150cm
Answers
Answer:
Area = 750 cm²
Step-by-step explanation:
Ratio of its' sides= 5:12:13
perimeter = 150cm
Sum of ratios= 5+12+13
= 30
Measure of sides:
formula to find it = rotio/ sum of ratios × perimeter
1st side = 5/30×150
= 5×5 = 25 cm
2nd side = 12/30×150
= 12×5
= 60 cm
3rd side = 13/30×150
= 13×5
=65 cm
Now, area of that triangle:
Using heron's formula:
semi perimeter = 150/2
= 75 cm
formula = root s(s-a)(s-b)(s-c)
= root 75(75-25)(75-60)(75-65)
= root 75×50×15×10
= root 562,500
Area = 750 cm²
HOPE IT HELPS YOU........
THANK YOU.........
Answer:
your answer is ७५०cm२
Step-by-step explanation:
the ratio of the side=5:12:13
and perimeter =150cmratio=30
1side= 5/30×150=25 cm
2side=12/30×150=60cm
3side 13/30×150=65cm
=150/2=75cm.