Perimeter Q: A right-angled triangle has its two perpendicular sides in the ratio 5:1

michelleabellan

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A right-angled triangle has its two perpendicular sides in the ratio 5:12 and the area of the triangle is 120cm2. What is the perimeter of the triangle? What are the sizes of the angles in the triangle?
 
A right-angled triangle has its two perpendicular sides in the ratio 5:12 and the area of the triangle is 120cm2. What is the perimeter of the triangle? What are the sizes of the angles in the triangle?
Assume the perpendicular sides are 'b' and 'p',

Then

what is the area of the triangle as a function of 'b' & 'p'?

Using Pythagoras's theorem

what is the hypotenuse (h) of the triangle as a function of 'b' & 'p'?

Continue.....
 
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