Find the area of a right angle whose base is 15 cm and hypotenuse is 17 cm.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 60 cm2.
Using the Pythagorean Theorem:
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,
Area = (1/2) × base × height
⇒ Area = (1/2) × 15 cm × 8 cm
⇒ Area = (1/2) × 120 cm2
⇒ Area = 60 cm2