Question

The base and height of a triangle are in the ratio 7:5.If the area of triangle is 1750m square ,find the base and height

Answer 1

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Answer 2

The base and height of triangle are 70 m and 50 m

Step-by-step explanation:

The base and height of a triangle are in the ratio 7:5

Let the ratio be x

So, Base of triangle = 7x

Height of triangle = 5x

Area of triangle = $\frac{1}{2} \times Base \times Height = \frac{1}{2} \times 7x \times 5x$

We are given that the area of triangle is 1750m square

So,$1750 =\frac{1}{2} \times 7x \times 5x \\ 1750 =\frac{1}{2} \times 35x^2\\\frac{1750 \times 2}{35}=x^2\\\sqrt{\frac{1750 \times 2}{35}}=x\\10=x$

Base of triangle = 7x =7(10)=70 m

Height of triangle = 5x =5(10)=50 m

Hence The base and height of triangle are 70 m and 50 m

#Learn more:

The base and height of the triangle in the ratio 3:2 if the area of a triangle is 243cm square find the base and height of a triangle

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