Pythagoras would help

Geometry Level 2

Triangle A B C ABC is an isosceles triangle where A B = B C AB=BC . Given that A B = 10 c m AB=10cm and A C = 12 c m AC=12cm , find the area of the triangle.

Clarification : Leave out the c m 2 cm^2 unit in your answer


The answer is 48.

Mohammad Farhat by Mohammad Farhat , 16, Singapore

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1 solution

Mohammad Farhat
Jun 7, 2019

We could divide the triangle into 2 right-angled triangles. The base of each triangle would be ( 10 c m ) 2 − ( 6 c m ) 2 = 8 c m \sqrt{(10cm)^2 - (6cm)^2} = 8cm So we found the height of the big triangle and plug in the values. 1 2 ( 8 c m × 12 c m ) = 48 c m 2 \dfrac{1}{2}(8cm \times 12cm) = 48cm^2 .

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