Mathematics
The base of a right-angled triangle is 24 cm and its hypotenuse is 25 cm. Find the area of the triangle.
Mensuration
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Answer
Given,
Hypotenuse = 25 cm
Base = 24 cm
By using the Pythagoras theorem,
Hypotenuse2 = Base2 + Height2
⇒ 252 = 242 + Height2
⇒ 625 = 576 + Height2
⇒ Height2 = 625 - 576
⇒ Height2 = 49
⇒ Height =
⇒ Height = 7 cm.
Area = × Base × Height
= × 24 × 7
= 12 × 7 = 84 cm2.
Hence, area of the triangle = 84 cm2.
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