Triangle Area

Geometry Level 1

What is the area of the right triangle above with side lengths 5 , 12 , 5, 12, and 13 13 ?

45 30 60 40

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6 solutions

Arron Kau Staff
May 13, 2014

Since 5 2 + 1 2 2 = 25 + 144 = 169 = 1 3 2 5^2 + 12^2 = 25 + 144 = 169 = 13^2 , thus we have a right angled triangle with base lengths of 5 and 12.

Hence, the area of the triangle is 1 2 × 5 × 12 = 30 \frac {1}{2} \times 5 \times 12 = 30 .

Anselmo Anselmo
Jan 10, 2016

Area=1/2 base height = 1/2x12x5 =1/2x60 =60/2 =30

Dexter Mackie
Jan 10, 2016

i honestly didnt find this to be a brilliant.org type question, it doesnt involve as much thought as many of their other questions.

Jennifer Jones
Jan 10, 2016

If one understands the relationship between the triangle and rectangle, the only formula you have to remember is the area of rectangle = l x w - and the "divided by, half of" just makes sense for the area of [the] triangle. More conceptual understanding and sense-making than just another formula to memorize...

Durgaprasana Dash
Jan 10, 2016

Which we can see,the triangle is right angled. So the area of the triangle is 1/2 5 12=30

Syeda Fatima
Nov 12, 2014

It's 30, you add all the lengths, :P Easy.....

It is area, not perimeter. Well, answer is correct!

Swapnil Das - 6 years, 3 months ago

The question is to calculate the area not the perimeter..... Though in this case perimeter and area is same your process is wrong.

Durgaprasana Dash - 5 years, 5 months ago

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