KnowledgeBoat Logo
|

Mathematics

Find the area of the right-angled triangle with hypotenuse 40 cm and one of the other two sides 24 cm.

Area Trapezium Polygon

8 Likes

Answer

Given:

Base of the triangle = 24 cm

Hypotenuse of the triangle = 40 cm

Let h be the height of the triangle.

Find the area of the right-angled triangle with hypotenuse 40 cm and one of the other two sides 24 cm. Area of a Trapezium and a Polygon, Concise Mathematics Solutions ICSE Class 8.

In a right-angled triangle, using the Pythagorean theorem,

Base2 + Height2 = Hypotenuse2

⇒ (24)2 + h2 = (40)2

⇒ 576 + h2 = 1600

⇒ h2 = 1600 - 576

⇒ h2 = 1024

⇒ h = 1024\sqrt{1024}

⇒ h = 32 cm

As we know, the area of a triangle = 12\dfrac{1}{2} x side x height

= 12\dfrac{1}{2} x 24 x 32 cm2

= 12\dfrac{1}{2} x 768 cm2

= 384 cm2

Hence, the area of the triangle is 384 cm2.

Answered By

4 Likes

Related Questions