Question

0) The area of an isosceles right angled triangle, if hypotenuse is given as 10 cm is a) 20 sq.cm b) 25 sq.cm d) 100 sq.cm c) 60 sq.cm​

Answer 1

Answer:

Leg a= 8.33

Leg b= 5

Hypotenuse= 10

Area of a right angled triangle =

$x = \frac{ab}{2}$

Answer 2

Answer:

b) 25 sq cm

Step-by-step explanation:

SINCE IT IS A ISOSCELES RIGHT ANGLED TRIANGLE

BASE = ALTITUDE

LET IT'S BASE AND ALTITUDE BE 'x' cm and 'x' cm

ACCORDING TO PYTHAGORAS THEORY

BASE²+ALTITUDE²=HYPOTENUSE²

x²+x²=10²

2x²=100

x²=50

x=√50

= 5√2

Now, Area Of Triangle = (1/2 x Base x Altitude)cm²

= (1/2 x 5√2 x 5√2)cm²

= (1/2 x 50)cm²

= 25 cm²