Find the area of a right-angled triangle of hypotenuse 91 cm and height 35 cm.
Answers
Answer:
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Given : a right-angled triangle of hypotenuse 91 cm and height 35 cm.
To find : area of right-angled triangle
Solution:
in right angle triangle
Base² + Height² = Hypotenuse²
Height = 35 cm
Hypotenuse = 91 cm
Base = ?
Base² + 35² = 91²
=> Base² = 91² - 35²
=> Base² = (91 + 35)(91 - 35)
=> Base² = 126 * 56
=> Base² = 2 * 3 * 3 * 7 * 2 * 2 * 2 * 7
=> Base² = 2² * 2² * 3² * 7²
=> Base = 2 * 2 * 3 * 7
=> Base = 84
Area of right angle triangle = (1/2) Base * Height
= (1/2) * 84 * 35
= 42 * 35
= 1470 cm²
area of a right-angled triangle = 1470 cm²
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