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    OlympiadMediumGeometry7–9

    A triangle has sides 1313, 1414 and 1515 cm. What is its area, in cm²?

    Um triângulo tem lados de 1313, 1414 e 1515 cm. Qual é a sua área, em cm²?

    Answer options

    Solution

    Step 1 of 3

    1. 1.The foot of the height onto the side 1414 splits it into 55 and 99, because 132−52=144=152−9213^2 - 5^2 = 144 = 15^2 - 9^2, so the height is 1212.