Answer:
[tex]\sf\: Area \: of \: the \: triangle \: = \boxed{\boxed{\bf\:50 \: cm^{2}}}[/tex]
Step-by-step explanation:
Given,
The triangle is an isosceles triangle.
- Base (b) = 10 cm
- Hypotenuse = 13 cm
- Altitude (h) = Base = 10 cm [isosceles triangle has equal opposite sides]
Since, we are given the hypotenuse, the triangle will be an isosceles right angled triangle.
We know that, area of a right angled triangle = ½ × b × h
By substituting the values in the above formula...
½ × b × h
= ½ × 10 × 10
= ½ × 100
= [tex]\boxed{\boxed{\bf\:50 \: cm^{2}}}[/tex]
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