Question
Download Solution PDFFind the area of a right angle whose base is 15 cm and hypotenuse is 17 cm.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Base = 15 cm
Hypotenuse = 17 cm
Formula Used:
Area of a right triangle = (1/2) × base × height
Pythagorean Theorem: a2 + b2 = c2
Calculation:
Using Pythagorean Theorem to find the height:
Base (a) = 15 cm
Hypotenuse (c) = 17 cm
Height (b) = ?
⇒ 152 + b2 = 172
⇒ 225 + b2 = 289
⇒ b2 = 289 - 225
⇒ b2 = 64
⇒ b = 8 cm
Now, calculate the area of the right triangle:
Area = (1/2) × base × height
⇒ Area = (1/2) × 15 cm × 8 cm
⇒ Area = (1/2) × 120 cm2
⇒ Area = 60 cm2
The area of the right triangle is 60 cm2.
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