Question

3. Find the length of each of the equal sides of the isosceles triangle, if the
perimeter and unequal side are :
(i) Perimeter = 30 cm, unequal side
= 8 cm
(ii) Perimeter = 55 cm, unequal side

Hi please answer this

Answer 1

Answer:

(i) Sides are 11cm, 11cm and 8 cm

Step-by-step explanation:

perimeter = 30cm

unequal side = 8cm

equal sides = 30cm - 8cm= 22cm

each side = 22/2 = 11cm

therefore, sides are 11cm, 11cm and 8 cm.

Answer 2

$♧QUESTION♧$

Find the length of each of the equal sides of the isosceles triangle, if the perimeter and unequal side are :

(i) Perimeter = 30 cm, unequal side = 8 cm

$♧SOLUTION♧$

$GIVEN$

• PERIMETER = 30 cm
• UNEQUAL SIDE (BASE) = 8 cm

$FORMULA$

$PERIMETER = 2a + b$

$ACCORDING\:TO\:QUESTION$

$P = 2a + b$

$=> 30 = 2a + 8$

$=> 30-8 = 2a$

$=> 22 = 2a$

$=> \frac{22}{2} = a$

$=> 11 = a$

$THEREFORE$

LENGTH OF EQUAL SIDES = 11 cm.

$♧ ADDITIONAL INFORMATION ♧$

$\small{Perimeter\:of\:isosceles\:triangle = 2a + b}$

$\small{Area\:of\:isosceles\:triangle =\frac{1}{4}×b×\sqrt{4a² - b²}}$

HOPE THIS ANSWER WILL HELP YOU!!