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Question about area of triangle using the area rule

Question about area of triangle using the area rule-example-1

2 Answers

3 votes

Answer:

x=17

Explanation:

4 votes

Answer:

x=17

Explanation:

We know that to find the area of a triangle, the formula is:


A=(1)/(2)(bh)

We know that the area is 60 and the base is 15, so let's substitute:

60=1/2(15h)

multiply both sides by 2

120=15h

divide both sides by 15

8=h

So, we now know that the height of the triangle is 8, giving us the height and base to find the length of x, using Pythagorean Theorem:


a^(2) +b^(2) =c^(2)

15²+8²=c²

225+64=c²

289=c²

√289=c²

17=c

This means that x=17

Hope this helps! :)

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