a right angle triangle has the perimeter of 96cm. the length of its sides are in the ratio of 6:8:10. work out the area of the t
riangle
2 answers:
Answer:
Area = 384 cm²
Step-by-step explanation:
Perimeter = 96 cm
Ratio = 6:8:10
So,
6x+8x+10x = 96
=> 24x = 96
<u><em>Dividing both sides by 24</em></u>
=> x = 4
So, The sides are
=> 24 cm
=> 32 cm
=> 40 cm
<u><em>Now the area using Heron's Formula</em></u>
Area = 
Where s is the semi-perimeter = 48 cm, a , b and c are the sides
Area = 
Area = 
Area = 
Area = 384 cm²
Answer:
384 centimeters squared.
Step-by-step explanation:
96/(6+8+10)
96/24 = 4
6×4 : 8×4 : 10×4
24:32:40
The length of its sides are in the ratio of 24:32:40
The longest side is the hypotenuse which is 40.
The area is base × height × 1/2 of a triangle.
32 × 24 × 1/2
768 × 1/2
=384
The area of the triangle is 384 cm squared.
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So the answer is 27
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