Answer:
Area of the triangle = 60 cm²
Step-by-step explanation:
Two equal sides of the given isosceles triangle measure 13 cm.
Third side of the triangle = 10 cm
Since, formula to get the area of a triangle with given three sides is given by,
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where a, b and c represent the sides of the triangle
And s = [tex]\frac{a+b+c}{2}[/tex]
For the given isosceles triangle,
s = [tex]\frac{13+10+13}{2}[/tex]
s = 18
(s - a) = (18 - 13) = 5 cm
(s - b) = (18 - 10) = 8 cm
(s - c) = (18 - 13) = 5 cm
Substituting these values in the formula,
Area of the triangle = [tex]\sqrt{18\times 5\times 8\times 5}[/tex]
= [tex]\sqrt{3600}[/tex]
= 60 cm²
Therefore, area of the given isosceles triangle is 60 square cm.
