Tic is an isosceles triangle with a vertex angle I. if the angle of I is 70. find the measure of t.
2 answers:
Answer:
∠T=55°
Step-by-step explanation:
Given: ΔTIC is an isosceles triangle with a vertex angle I
∠TIC = 70°
By definition of isosceles triangle, two sides are equal
referring to the figure, we can see that TI=IC
this implies ∠ITC = ∠ICT= x (let)
With angle sum property of triangle, sum of all the angles of triangle is 180°
therefore, ∠TIC+∠ICT+∠ITC=180°
⇒x+x+70=180°
⇒2x=110°
⇒x=55°
hence, measure of ∠T=∠C=55°
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<u>Given</u>:
Given that the figure of similar triangles.
The altitude of the triangle is x.
The length of the left part is 30.
The length of the right part is 15.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the geometric mean theorem.
Thus, we have;
Substituting the values, we have;
Cross multiplying, we get;
Taking square root on both sides, we have;
Thus, the value of x is 15√2
Answer:
Step-by-step explanation:
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Cancel the common factor which is 18 :
Apply the addition exponent rule :
Subtract :
Apply the rule for y :
Subtract :
Cancel the common factor of z^3 :