SOLUTION: What is the area of a triangle with a hypotenuse of 14 and a height of 12

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Question 869812: What is the area of a triangle with a hypotenuse of 14 and a height of 12
Found 2 solutions by ewatrrr, mananth:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

hypotenuse of 14 and a height of 12

Applying the Pythagorean Theorem

Base = sqrt%28196-144%29+=+sqrt%2852%29+=+sqrt%284%2A13%29+=+2sqrt%2813%29

A = bh%2F2+=++b%2A12%2F2+= 6b = 12√13 units ^2

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
hypotenuse = 14
one leg =12
apply Pythagoras theorem
x^2+12^=14^2
x^2=14^2-12^2
x^2=196-144
x^2=52
x= +/-2sqrt(13)
Area of triangle = 1/2 * leg 1*leg2
=%281%2F2%29+%2A+12%2A2sqrt%2813%29
=12sqrt%2813%29%29