Question

4. The sides of two triangles are given below. Determine which of them is the right triangle :
(i) a = 6 cm,
b 8 cm, c = 10 cm
(i) a = 5 cm, b = 8 cm,c=11 cm​

Answer 1

Answer:

1 option

Step-by-step explanation:

a =6 b=8 c=10

Pythagoras theorem

100 = 100

Answer 2

Answer:

(i) ΔABC is right triangle.

(ii) ΔABC is not right triangle.

Step-by-step explanation:

(i) a = 6 cm, b = 8 cm and c = 10 cm

Now $c^2 = 10^2 cm^2 = 100 cm^2$

$a^2 = 6^2 cm^2= 36 cm^2$

$b^2 = 8^2 cm^2 = 64 cm^2$

36 + 64 = 100

∴ $c^2 = a^2 + b^2$

∠C = 90°,  ΔABC is right triangle.

(ii) a = 5 cm, b = 8 cm and c = 11 cm

Now $c^2 = 11^2 cm^2 = 121 cm^2$

$a^2 = 5^2 cm^2= 25 cm^2$

$b^2 = 8^2 cm^2 = 64 cm^2$

25 + 64 = 89

∴ $c^2 > a^2 + b^2$

∠C ≠ 90°,  ΔABC is not right triangle.