SOLUTION: find the area of a right triangle with hypotenuse 10 cm and base 6 cm

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Question 818844: find the area of a right triangle with hypotenuse 10 cm and base 6 cm
Answer by jhunjiro(67) About Me  (Show Source):
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find the area of a right triangle with hypotenuse 10 cm and base 6 cm
Given:
Base=6cm
Hypotenuse= 10cm
Solution:
Get first the height using Pythagorean theorem
Let x be the height
+10%5E2+=+6%5E2+%2B+x%5E2+
+100+=+36+%2B+x%5E2+
+100+-36+=+x%5E2+
+64=x%5E2
+sqrt+%2864%29=sqrt+%28x%5E2%29
+x=8 = height
Formula for Area of Triangle
Area of Triangle = +base%2Aheight%2F2+
=+6%2A8%2F2+
=+48%2F2
=24+
Final Answer:
The Area of the Triangle is highlight+%2824%29+