# Find the Area of the Right-angled Triangle with Hypotenuse 40 Cm and One of the Other Two Sides 24 Cm. - Mathematics

Sum

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

#### Solution

In right angled triangle ABC Hypotenuse AC = 40 cm
One side AB = 24 cm

∴ BC = sqrt("AC"^2 - "AB"^2)

= sqrt(40^2 - 24^2) = sqrt(1600 - 576)

= sqrt(1024) = 32 cm

∴ Area = 1/2  "AB" xx "BC" = 1/2 xx 24 xx 32  "cm"^2 = 384  "cm"^2

Concept: Perimeter of Triangles
Is there an error in this question or solution?

#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 20 Area of a Trapezium and a Polygon
Exercise 20 (A) | Q 13 | Page 224