The perimeter of a right angled triangle is 105cm. The lengths of its sides are in the ratio of 2:6:7. Work out the area of the triangle.

Add up ratios: 2+6+7=15Divide perimeter by ratio total, to figure out how big the scale of the triangle is: 105/15=7Multiply each separate figure in the ratio by the scale factor (7): 2x7 : 6x7 : 7x714 : 42 : 49Longest length of right angled triangle (hypotenuse) is the diagnol length: 49cmOther two lengths: 14cm and 42cmArea of triangle: 0.5 x base x height0.5 x 14 x 42Use grid method to work out answer: 294cm^2