Construct a right-angled triangle with hypotenuse 25 cm and a side measuring 7 cm.
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Answer:
84cm2
Step-by-step explanation:
The relation between side lengths of a right triangle is:
a2+b2=c2
a and b are the lengths of the perpendicular sides, and c is the length of the hypotenuse.
Given the lengths of the hypotenuse and one right side, the length of the other right side will be:
a=c2−b2−−−−−−√
Putting the given lengths in this equation:
a=252–72−−−−−−√=625–49−−−−−−√=24cm .
The area of the right triangle will be:
A=a∗b2=24∗72=84cm2
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