Answer:
Step-by-step explanation:
It is given that in △ABC, ∠ABC=90°, BH is an altitude and AB=9 and AC=12, thus using the Pythagoras theorem in △ABC, we get
Now, From ΔABC and ΔHBC, we have
∠ABC=∠BHC(each90)
∠ACB=∠HCB (Common)
By AA similarity, ΔABC is similar to ΔHBC.
Thus, using the similarity condition, we get
Whats the length, base and height of the triangle
Answer:
21 degrees
Step-by-step explanation:
To find this, we are going to use the appropriate trigonometric ratio
The right angle faces the length 22 which is the hypotenuse
The marked angle faces the length 8 which makes it the opposite
The trigonometric ratio that links the two is the sine
The sine is the ratio of the opposite to the hypotenuse
So, we have it that;
sine ? = 8/22
? = arc sine 8/22
? = 21 degrees
First combine like terms so
2x+6=3x-8
3x - 2x =1X
-6 - -8= -14
1X ÷ -14
then just divide
