Right triangle with perimeter and hypotenuse information: find its area

This type of question, asked 2 times: CDS 1 2021, CDS 1 2025. All 2 questions below, oldest first.

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Question 1
CDS 1 2021
87 $If the perimeter of a right-angled triangle is 30 cm and the hypotenuse is 13 cm, then what is the area of the triangle?$
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Question 2 (case study, 2 parts)
CDS 1 2025
Consider the following for the next two (02) items that follow : ABC is a triangle right-angled at B. The perimeter of the triangle is 24 cm and the difference between the sum of the perpendicular sides and the hypotenuse is 4 cm.
53 $What is the area of the triangle ABC ?$
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54 $A circle is inscribed in the triangle. What is its radius ?$
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Question 1