Calculate Triangle Height X: Area 20 and Base 5 Problem

Calculate X using the data in the figure below.

A=20A=20A=20555XXXAAABBBCCC

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine the value of X
00:03 Apply the formula for calculating the area of a triangle
00:06 (base x height) divided by 2
00:09 Substitute in the relevant values according to the given data and proceed to solve for X
00:13 Isolate X
00:16 This is the solution

Step-by-step written solution

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1

Understand the problem

Calculate X using the data in the figure below.

A=20A=20A=20555XXXAAABBBCCC

2

Step-by-step solution

The formula to calculate the area of a triangle is:

(side * height descending from the side) /2

We place the data we have into the formula to find X:

20=AB×AC2 20=\frac{AB\times AC}{2}

20=x×52 20=\frac{x\times5}{2}

Multiply by 2 to get rid of the fraction:

5x=40 5x=40

Divide both sections by 5:

5x5=405 \frac{5x}{5}=\frac{40}{5}

x=8 x=8

3

Final Answer

8

Practice Quiz

Test your knowledge with interactive questions

Angle A is equal to 30°.
Angle B is equal to 60°.
Angle C is equal to 90°.

Can these angles form a triangle?

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