How to find the area of the 45-45-90 triangle with a hypotenuse of 24?
2 answers:
The area of a triangle is 1/2(base x height) .
The two legs of this triangle are equal. If you position it properly,
one of them is the base, and the other one is the height.
Since it's a right triangle, A² + B² = C²
But A = B and C = 24 .
2A² = (24)²
A² = (24)² / 2
But since A=B, A² is also (base x height) of the triangle.
Area is just 1/2 of it.
Area = 1/2(24²/2) = (24)²/4 = (24/2)² = (12)² = <u>144</u> .
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