Find the Value of X of this triangle
2 answers:
Answer: x=2
Step-by-step explanation:
This is an isosceles triangle. That means both of the sides marked are congruent.
That means we can set up this equation and solve it:
First let's use the distributive property
Now we can add 4x on both sides
Next we subtract 14 from both sides
Finally we divide both sides by 11
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Image of the triangle is attached
Answer:
24 cm
Step-by-step explanation:
If two triangles are similar, the corresponding sides must be in the same ratio.
From the diagram, the height of the triangle is 36cm.
But the height of triangle ABE = h,
To find the height of triangle BCD, let's subtract the height of triangle ABE from 36cm.
Therefore.
Height of BCD = 36 - h.
Since the triangles are similar and their corresponding sides have the same ratio, we have the expression:
Substituting figures, we have:
Cross multiplying, we have:
20(36-h) = 10 * h
720 - 20h = 10h
720 = 10h + 20h
720 = 30h
h = 24 cm
Therefore, the height of triangle ABE is 24cm
