the base and height of a triangle are in the ratio 4:5 if the area of the triangle is 90 square CM find the measure of it's base and heigh
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Answer:
Base = 36 cm
Height = 45 cm
Step-by-step explanation:
The ratio of base to the height of a triangle = 4:5
Hence, Let the base be = 4x and height be = 5x
Area of triangle = 90 cm² (given)
Area of triangle = 1/2 × base × height
90 cm² = 1/2 × 4x ×5x
90 cm² = 10x
x = 9
therefore, Base = 4x = 4×9 = 36 cm
Height = 5x = 5×9 = 45 cm
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