Triangles were used to construct a bridge in which the base (unequal side) of an isosceles triangle is 4 cm and its perimeter is 20 cm. FA If the sides of a triangle are in the ratio 3:5:7 and its perimeter is 300 m. Find its area.
Answers
Given : 1. Triangles were used to construct a bridge in which the base (unequal side) of an isosceles triangle is 4 cm and its perimeter is 20 cm.
2. If the sides of a triangle are in the ratio 3:5:7 and its perimeter is 300 m.
To Find : Area.
Solution:
isosceles triangle unequal side = 4 cm
Equal side = x cm
Perimeter = 4 + x + x = 20
=> 2x = 16
=> x = 8
Altitude from vertex bisects unequal side in a isosceles triangle
Hence right angle triangle is formed with base = 4/2 = 2 cm
Hypotenuse = 8 cm
Altitude = √8² - 2² = √60 = 2√15 cm
Area = (1/2) * base * height
= (1/2) * 4 * 2√15
= 4√15 cm²
sides of a triangle are in the ratio 3:5:7 and its perimeter is 300 m.
3x + 5x + 7x = 300
=>x = 20
sides are 60 , 100 , 140 m
s = ( 60 + 100 + 140)/2 = 150 m
Area = √150(150 - 60)(150 - 100)(150 - 140)
= √150(90)(50)(10)
= 100√15*9*5*
= 1500√3 m²
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