Math, asked by shamycool77561, 1 year ago

Find the area of a right triangle whose base is 1.2m amd hypotenuse 3.7m

Answers

Answered by swetha137
0
area of right angle traingle = (1/2) x b x h sq. units
= (1/2) x 1.2m x 3.7m
= (3.7 x 0.6)m²
= 2.22m²
Answered by rajeev378
5
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Here is your answer
Hypotenuse = 3.7 m
Base = 1.2 m
Let the altitude is x m

By using Pythagoras Theorem we can calculate altitude

 {(1.2)}^{2}   + x {}^{2}  = (3.7) {}^{2}  \\ 1.44 +  {x}^{2}  = 13.69 \\  {x}^{2}  = 13.69 - 1.44 \\  {x}^{2}  = 12.25 \\ x =  \sqrt{12.25}  \\ x = 3.5 \: m
So Altitude is 3.5 m

As we know the formula
Area of triangle is = 1/2(base)×(altitude)
 =  \frac{1}{2}  \times 1.2 \times 3.5 \\  = 0.6 \times 3.5 \\  = 2.1 \: m {}^{2}

Therefore Area of triangle = 2.1 sq. m

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