<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length. Orient the base of this triangle so that it's horizontal, and represent its length by b. Let h represent the height of the triangle. Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.
Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2. Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).
The length of one of the legs is the sqrt of [5sqrt(2)]^2+[5sqrt(2)]^2, or
sqrt(25(2)+25(2)) = sqrt(100) = 10.
</span>
Answer:
x = - 6
Step-by-step explanation:
Given
x + 5 = 1 ( subtract 5 from both sides )
x = - 4
Multiply both sides by 3 to clear the fraction
2x = - 12 ( divide both sides by 2 )
x = - 6
Answer: 15in^2
Step-by-step explanation:
first you need to find the area of the rectangle, so you would multiply 7 and 3, which gives you 21, (A=L•W). So now you need to find the area of the triangles, the formula for that is A= 1/2 b•h, so you get 3in for the area of the triangle, but since there are two and they are the exact same triangle you would just combine them, so the area for both triangles is 6in, so then you would need to subtract the 6 from the 21 so that you can find the area of the shape, and your final answer would be 15in(squared). hopefully you understand
Answer:
5.7 units
Step-by-step explanation:
The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).
Use distance formula to calculate distance between P and R:
Let,
Plug in the values into the formula.
(to nearest tenth)
