Question

2. The perimeter of an isosceles triangle is 42 cm and
its base is 1.5 times each of the equal sides. Find
a) the length of each side of the triangle b] the area
of the triangle c] the height of the triangie.​

Answer 1

Step-by-step explanation:

Let the side of the isosceles triangle be x

GIVEN

3/2 x +x +x=42cm

3x/2 + 2x =42

(3x+4x)/2=42

3x+4x=84

7x=84

x=12cm

side=12cm base=18cm

The height(altitude) of an isos. triangle divides it into two rt triangles

in a rt. triangle, base²+height²=hypotenuse²

thus, 9²+h²=12²

h=√12²-9²

=√144-81   =√63   =3√7cm

area =1/2 x base x height

        =1/2 x 18 x3√7  

          27√7 cm²

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Answer 2

the solution is in attachment

hope it helps u